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GCF of 95/29, 84/87, 734/935

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 95/29, 84/87, 734/935 i.e 1/81345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/29, 84/87, 734/935.

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 95/29,84/87,734/935?

Given fractions are 95/29,84/87,734/935

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 95/29,84/87,734/935, numerators are 95,84,734

Denominators are 29,87,935

The GCF of 95,84,734 is 1 .

LCM of 29,87,935 is 81345.

The greatest common factor of 95/29,84/87,734/935 = [GCF of 95,84,734]/[LCM of 29,87,935]= 1/81345

Therefore, the GCF of 95/29,84/87,734/935 is 1/81345.

Greatest Common Factor of 95,84,734

To find the highest common factor of 95,84,734, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 734 are 1, 2, 367, 734

The HCF of 95,84,734 is 1.

Lets's calculate GCF of 95,84,734

Greatest Common Factor (GCF) of 95,84,734 By Common Division

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

Greatest Common Factor of 95,84,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,84,734 By Matching Biggest Common Factor Method

Now, list down the factors of 95

:

1,5,19,95

Now, list down the factors of 84

:

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 734

:

1,2,367,734

Greatest Common Factor

We found the factors 95,84,734 . The biggest common factor number is the GCF number.
So the greatest common factor 95,84,734 is 1.


Lets's calculate LCM of 29,87,935

Lowest Common Multiple of 29,87,935 using Common Division

29 29, 87, 935
1, 3, 935

∴ So the LCM of the given numbers is 29 x 1 x 3 x 935 = 81345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81345

Therefore, the GCF of Fractions 95/29,84/87,734/935 is 1/81345

Least Common Multiple of 29,87,935 with GCF Formula

Least Common Multiple of 29,87,935 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 29,87,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,87,935) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,87,935) x common factors =1 x 29 = 29

LCM(29,87,935) = ( 29 × 87 × 935 ) / 29

LCM(29,87,935) = 2359005 / 29

LCM(29,87,935) = 81345


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 95/29, 84/87, 734/935

1. What is the HCF of 95,84,734?

The HCF of 95,84,734 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 95/29, 84/87, 734/935?

Answer: GCF of Numerators as per given numbers 95/29, 84/87, 734/935 is

GCF of Numerators i.e. for 95,84,734 is 1

LCM of denominators i.e. for 29,87,935 is 81345.

Thus, GCF of Fractions is 1/81345.Finally, GCF of Fractions for 95/29, 84/87, 734/935 is 1/81345.