Greatest Common Factor of 1496/43, 1256/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1496/43, 1256/526

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 1496/43,1256/526

Given fractions are 1496/43,1256/526

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 1496,1256

Greatest Common Factor of Numerators i.e. GCF of 1496,1256 is 8 .

LCM of Denominators means LCM of 43,526 as per the given fractions.

LCM of 43,526 is 22618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1496,1256

GCF of Fractions 1496/43,1256/526 is 8/22618

2 1496, 1256
2 748, 628
2 374, 314
187, 157

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1496,1256 By Matching Biggest Common Factor Method

Greatest Common Factor of 1496,1256 By Matching Biggest Common Factor Method

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Factors of 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1,2,4,8,157,314,628,1256

Greatest Common Factor

We found the factors 1496,1256 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,1256 is 8.

Lets's calculate LCM of 43,526

Given numbers has no common factors except 1. So, there LCM is their product i.e 22618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/22618

Therefore, the GCF of Fractions 1496/43,1256/526 is 8/22618

Least Common Multiple of 43,526 with GCF Formula

Least Common Multiple of 43,526 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 43,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,526) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,526) x common factors =1 x 1 = 1

LCM(43,526) = ( 43 × 526 ) / 1

LCM(43,526) = 22618 / 1

LCM(43,526) = 22618


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 1496/43, 1256/526

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 1496/43, 1256/526?

Answer: GCF of Numerators as per given numbers 1496/43, 1256/526 is

GCF of Numerators i.e. for 1496,1256 is 8

LCM of denominators i.e. for 43,526 is 22618.

Thus, GCF of Fractions is 8/22618.Finally, GCF of Fractions for 1496/43, 1256/526 is 8/22618.