Greatest Common Factor of 707/53, 426/74, 949/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 707/53, 426/74, 949/14

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 707/53,426/74,949/14

Given fractions are 707/53,426/74,949/14

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 707,426,949

Greatest Common Factor of Numerators i.e. GCF of 707,426,949 is 1 .

LCM of Denominators means LCM of 53,74,14 as per the given fractions.

LCM of 53,74,14 is 27454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 707,426,949

GCF of Fractions 707/53,426/74,949/14 is 1/27454

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

Greatest Common Factor of 707,426,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,426,949 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 707,426,949 . The biggest common factor number is the GCF number.
So the greatest common factor 707,426,949 is 1.

Lets's calculate LCM of 53,74,14

2 53, 74, 14
53, 37, 7

∴ So the LCM of the given numbers is 2 x 53 x 37 x 7 = 27454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27454

Therefore, the GCF of Fractions 707/53,426/74,949/14 is 1/27454

Least Common Multiple of 53,74,14 with GCF Formula

Least Common Multiple of 53,74,14 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 53,74,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,74,14) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,74,14) x common factors =1 x 2 = 2

LCM(53,74,14) = ( 53 × 74 × 14 ) / 2

LCM(53,74,14) = 54908 / 2

LCM(53,74,14) = 27454


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 707/53, 426/74, 949/14

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 707/53, 426/74, 949/14?

Answer: GCF of Numerators as per given numbers 707/53, 426/74, 949/14 is

GCF of Numerators i.e. for 707,426,949 is 1

LCM of denominators i.e. for 53,74,14 is 27454.

Thus, GCF of Fractions is 1/27454.Finally, GCF of Fractions for 707/53, 426/74, 949/14 is 1/27454.