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GCF of 6707/802, 3705/8143

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 6707/802, 3705/8143 i.e 19/6530686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6707/802, 3705/8143.

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 6707/802,3705/8143?

Given fractions are 6707/802,3705/8143

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 6707/802,3705/8143, numerators are 6707,3705

Denominators are 802,8143

The GCF of 6707,3705 is 19 .

LCM of 802,8143 is 6530686.

The greatest common factor of 6707/802,3705/8143 = [GCF of 6707,3705]/[LCM of 802,8143]= 19/6530686

Therefore, the GCF of 6707/802,3705/8143 is 19/6530686.

Greatest Common Factor of 6707,3705

To find the highest common factor of 6707,3705, we have to find the factors of both numbers and list the highest common factor.

The factors of 6707 are 1, 19, 353, 6707

The factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705

The HCF of 6707,3705 is 19.

Lets's calculate GCF of 6707,3705

Greatest Common Factor (GCF) of 6707,3705 By Common Division

19 6707, 3705
353, 195

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 6707,3705 By Matching Biggest Common Factor Method

Greatest Common Factor of 6707,3705 By Matching Biggest Common Factor Method

Now, list down the factors of 6707

:

1,19,353,6707

Now, list down the factors of 3705

:

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors 6707,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 6707,3705 is 19.


Lets's calculate LCM of 802,8143

Lowest Common Multiple of 802,8143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6530686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/6530686

Therefore, the GCF of Fractions 6707/802,3705/8143 is 19/6530686

Least Common Multiple of 802,8143 with GCF Formula

Least Common Multiple of 802,8143 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 802,8143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,8143) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(802,8143) x common factors =1 x 1 = 1

LCM(802,8143) = ( 802 × 8143 ) / 1

LCM(802,8143) = 6530686 / 1

LCM(802,8143) = 6530686


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6707/802, 3705/8143

1. What is the HCF of 6707,3705?

The HCF of 6707,3705 is 19

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 6707/802, 3705/8143?

Answer: GCF of Numerators as per given numbers 6707/802, 3705/8143 is

GCF of Numerators i.e. for 6707,3705 is 19

LCM of denominators i.e. for 802,8143 is 6530686.

Thus, GCF of Fractions is 19/6530686.Finally, GCF of Fractions for 6707/802, 3705/8143 is 19/6530686.