Greatest Common Factor of 614/56, 704/40, 695/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 614/56, 704/40, 695/42

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 614/56,704/40,695/42

Given fractions are 614/56,704/40,695/42

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 614,704,695

Greatest Common Factor of Numerators i.e. GCF of 614,704,695 is 1 .

LCM of Denominators means LCM of 56,40,42 as per the given fractions.

LCM of 56,40,42 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 614,704,695

GCF of Fractions 614/56,704/40,695/42 is 1/840

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

Greatest Common Factor of 614,704,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,704,695 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 614,704,695 . The biggest common factor number is the GCF number.
So the greatest common factor 614,704,695 is 1.

Lets's calculate LCM of 56,40,42

2 56, 40, 42
2 28, 20, 21
2 14, 10, 21
7 7, 5, 21
1, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 5 x 3 = 840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/840

Therefore, the GCF of Fractions 614/56,704/40,695/42 is 1/840

Least Common Multiple of 56,40,42 with GCF Formula

Least Common Multiple of 56,40,42 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 56,40,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,40,42) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(56,40,42) x common factors =2 x 56 = 112

LCM(56,40,42) = ( 56 × 40 × 42 ) / 112

LCM(56,40,42) = 94080 / 112

LCM(56,40,42) = 840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 614/56, 704/40, 695/42

1. 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.

2. What is the GCF of Fractions for 614/56, 704/40, 695/42?

Answer: GCF of Numerators as per given numbers 614/56, 704/40, 695/42 is

GCF of Numerators i.e. for 614,704,695 is 1

LCM of denominators i.e. for 56,40,42 is 840.

Thus, GCF of Fractions is 1/840.Finally, GCF of Fractions for 614/56, 704/40, 695/42 is 1/840.