Greatest Common Factor of 1281/836, 5624/1556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1281/836, 5624/1556

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 1281/836,5624/1556

Given fractions are 1281/836,5624/1556

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 1281,5624

Greatest Common Factor of Numerators i.e. GCF of 1281,5624 is 1 .

LCM of Denominators means LCM of 836,1556 as per the given fractions.

LCM of 836,1556 is 325204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1281,5624

GCF of Fractions 1281/836,5624/1556 is 1/325204

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

Greatest Common Factor of 1281,5624 By Matching Biggest Common Factor Method

Greatest Common Factor of 1281,5624 By Matching Biggest Common Factor Method

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1,3,7,21,61,183,427,1281

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Greatest Common Factor

We found the factors 1281,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 1281,5624 is 1.

Lets's calculate LCM of 836,1556

2 836, 1556
2 418, 778
209, 389

∴ So the LCM of the given numbers is 2 x 2 x 209 x 389 = 325204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325204

Therefore, the GCF of Fractions 1281/836,5624/1556 is 1/325204

Least Common Multiple of 836,1556 with GCF Formula

Least Common Multiple of 836,1556 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 836,1556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,1556) = 4

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

GCF(836,1556) x common factors =4 x 1 = 4

LCM(836,1556) = ( 836 × 1556 ) / 4

LCM(836,1556) = 1300816 / 4

LCM(836,1556) = 325204


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 1281/836, 5624/1556

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 1281/836, 5624/1556?

Answer: GCF of Numerators as per given numbers 1281/836, 5624/1556 is

GCF of Numerators i.e. for 1281,5624 is 1

LCM of denominators i.e. for 836,1556 is 325204.

Thus, GCF of Fractions is 1/325204.Finally, GCF of Fractions for 1281/836, 5624/1556 is 1/325204.