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GCF of 6/70, 35/68, 82/102, 965/764

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 6/70, 35/68, 82/102, 965/764 i.e 1/1363740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/70, 35/68, 82/102, 965/764.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6/70,35/68,82/102,965/764?

Given fractions are 6/70,35/68,82/102,965/764

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6/70,35/68,82/102,965/764, numerators are 6,35,82,965

Denominators are 70,68,102,764

The GCF of 6,35,82,965 is 1 .

LCM of 70,68,102,764 is 1363740.

The greatest common factor of 6/70,35/68,82/102,965/764 = [GCF of 6,35,82,965]/[LCM of 70,68,102,764]= 1/1363740

Therefore, the GCF of 6/70,35/68,82/102,965/764 is 1/1363740.

Greatest Common Factor of 6,35,82,965

To find the highest common factor of 6,35,82,965, we have to find the factors of both numbers and list the highest common factor.

The factors of 6 are 1, 2, 3, 6

The factors of 35 are 1, 5, 7, 35

The factors of 82 are 1, 2, 41, 82

The factors of 965 are 1, 5, 193, 965

The HCF of 6,35,82,965 is 1.

Lets's calculate GCF of 6,35,82,965

Greatest Common Factor (GCF) of 6,35,82,965 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6,35,82,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,35,82,965 By Matching Biggest Common Factor Method

Now, list down the factors of 6

:

1,2,3,6

Now, list down the factors of 35

:

1,5,7,35

Now, list down the factors of 82

:

1,2,41,82

Now, list down the factors of 965

:

1,5,193,965

Greatest Common Factor

We found the factors 6,35,82,965 . The biggest common factor number is the GCF number.
So the greatest common factor 6,35,82,965 is 1.


Lets's calculate LCM of 70,68,102,764

Lowest Common Multiple of 70,68,102,764 using Common Division

2 70, 68, 102, 764
2 35, 34, 51, 382
17 35, 17, 51, 191
35, 1, 3, 191

∴ So the LCM of the given numbers is 2 x 2 x 17 x 35 x 1 x 3 x 191 = 1363740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1363740

Therefore, the GCF of Fractions 6/70,35/68,82/102,965/764 is 1/1363740

Least Common Multiple of 70,68,102,764 with GCF Formula

Least Common Multiple of 70,68,102,764 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,68,102,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,68,102,764) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(70,68,102,764) x common factors =2 x 136 = 272

LCM(70,68,102,764) = ( 70 × 68 × 102 × 764 ) / 272

LCM(70,68,102,764) = 370937280 / 272

LCM(70,68,102,764) = 1363740


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6/70, 35/68, 82/102, 965/764

1. What is the HCF of 6,35,82,965?

The HCF of 6,35,82,965 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 6/70, 35/68, 82/102, 965/764?

Answer: GCF of Numerators as per given numbers 6/70, 35/68, 82/102, 965/764 is

GCF of Numerators i.e. for 6,35,82,965 is 1

LCM of denominators i.e. for 70,68,102,764 is 1363740.

Thus, GCF of Fractions is 1/1363740.Finally, GCF of Fractions for 6/70, 35/68, 82/102, 965/764 is 1/1363740.