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GCF of 56/695, 17/557, 138/310

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 56/695, 17/557, 138/310 i.e 1/24001130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/695, 17/557, 138/310.

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 56/695,17/557,138/310?

Given fractions are 56/695,17/557,138/310

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 56/695,17/557,138/310, numerators are 56,17,138

Denominators are 695,557,310

The GCF of 56,17,138 is 1 .

LCM of 695,557,310 is 24001130.

The greatest common factor of 56/695,17/557,138/310 = [GCF of 56,17,138]/[LCM of 695,557,310]= 1/24001130

Therefore, the GCF of 56/695,17/557,138/310 is 1/24001130.

Greatest Common Factor of 56,17,138

To find the highest common factor of 56,17,138, we have to find the factors of both numbers and list the highest common factor.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The factors of 17 are 1, 17

The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138

The HCF of 56,17,138 is 1.

Lets's calculate GCF of 56,17,138

Greatest Common Factor (GCF) of 56,17,138 By Common Division

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

Greatest Common Factor of 56,17,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,17,138 By Matching Biggest Common Factor Method

Now, list down the factors of 56

:

1,2,4,7,8,14,28,56

Now, list down the factors of 17

:

1,17

Now, list down the factors of 138

:

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 56,17,138 . The biggest common factor number is the GCF number.
So the greatest common factor 56,17,138 is 1.


Lets's calculate LCM of 695,557,310

Lowest Common Multiple of 695,557,310 using Common Division

5 695, 557, 310
139, 557, 62

∴ So the LCM of the given numbers is 5 x 139 x 557 x 62 = 24001130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24001130

Therefore, the GCF of Fractions 56/695,17/557,138/310 is 1/24001130

Least Common Multiple of 695,557,310 with GCF Formula

Least Common Multiple of 695,557,310 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 695,557,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,557,310) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(695,557,310) x common factors =1 x 5 = 5

LCM(695,557,310) = ( 695 × 557 × 310 ) / 5

LCM(695,557,310) = 120005650 / 5

LCM(695,557,310) = 24001130


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 56/695, 17/557, 138/310

1. What is the HCF of 56,17,138?

The HCF of 56,17,138 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 56/695, 17/557, 138/310?

Answer: GCF of Numerators as per given numbers 56/695, 17/557, 138/310 is

GCF of Numerators i.e. for 56,17,138 is 1

LCM of denominators i.e. for 695,557,310 is 24001130.

Thus, GCF of Fractions is 1/24001130.Finally, GCF of Fractions for 56/695, 17/557, 138/310 is 1/24001130.