Greatest Common Factor of 1222/992, 1354/8656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1222/992, 1354/8656

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 1222/992,1354/8656

Given fractions are 1222/992,1354/8656

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 1222,1354

Greatest Common Factor of Numerators i.e. GCF of 1222,1354 is 2 .

LCM of Denominators means LCM of 992,8656 as per the given fractions.

LCM of 992,8656 is 536672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1222,1354

GCF of Fractions 1222/992,1354/8656 is 2/536672

2 1222, 1354
611, 677

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

Greatest Common Factor of 1222,1354 By Matching Biggest Common Factor Method

Greatest Common Factor of 1222,1354 By Matching Biggest Common Factor Method

Factors of 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1,2,13,26,47,94,611,1222

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Greatest Common Factor

We found the factors 1222,1354 . The biggest common factor number is the GCF number.
So the greatest common factor 1222,1354 is 2.

Lets's calculate LCM of 992,8656

2 992, 8656
2 496, 4328
2 248, 2164
2 124, 1082
62, 541

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 62 x 541 = 536672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/536672

Therefore, the GCF of Fractions 1222/992,1354/8656 is 2/536672

Least Common Multiple of 992,8656 with GCF Formula

Least Common Multiple of 992,8656 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 992,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,8656) = 16

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

GCF(992,8656) x common factors =16 x 1 = 16

LCM(992,8656) = ( 992 × 8656 ) / 16

LCM(992,8656) = 8586752 / 16

LCM(992,8656) = 536672


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 1222/992, 1354/8656

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 1222/992, 1354/8656?

Answer: GCF of Numerators as per given numbers 1222/992, 1354/8656 is

GCF of Numerators i.e. for 1222,1354 is 2

LCM of denominators i.e. for 992,8656 is 536672.

Thus, GCF of Fractions is 2/536672.Finally, GCF of Fractions for 1222/992, 1354/8656 is 2/536672.