Greatest Common Factor of 406/254, 696/278, 754/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/254, 696/278, 754/522

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 406/254,696/278,754/522

Given fractions are 406/254,696/278,754/522

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 406,696,754

Greatest Common Factor of Numerators i.e. GCF of 406,696,754 is 58 .

LCM of Denominators means LCM of 254,278,522 as per the given fractions.

LCM of 254,278,522 is 9214866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,696,754

GCF of Fractions 406/254,696/278,754/522 is 58/9214866

2 406, 696, 754
29 203, 348, 377
7, 12, 13

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 406,696,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,696,754 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 406,696,754 . The biggest common factor number is the GCF number.
So the greatest common factor 406,696,754 is 58.

Lets's calculate LCM of 254,278,522

2 254, 278, 522
127, 139, 261

∴ So the LCM of the given numbers is 2 x 127 x 139 x 261 = 9214866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/9214866

Therefore, the GCF of Fractions 406/254,696/278,754/522 is 58/9214866

Least Common Multiple of 254,278,522 with GCF Formula

Least Common Multiple of 254,278,522 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 254,278,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,278,522) = 2

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

GCF(254,278,522) x common factors =2 x 2 = 4

LCM(254,278,522) = ( 254 × 278 × 522 ) / 4

LCM(254,278,522) = 36859464 / 4

LCM(254,278,522) = 9214866


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 406/254, 696/278, 754/522

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 406/254, 696/278, 754/522?

Answer: GCF of Numerators as per given numbers 406/254, 696/278, 754/522 is

GCF of Numerators i.e. for 406,696,754 is 58

LCM of denominators i.e. for 254,278,522 is 9214866.

Thus, GCF of Fractions is 58/9214866.Finally, GCF of Fractions for 406/254, 696/278, 754/522 is 58/9214866.