Greatest Common Factor of 112/988, 1216/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/988, 1216/435

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 112/988,1216/435

Given fractions are 112/988,1216/435

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 112,1216

Greatest Common Factor of Numerators i.e. GCF of 112,1216 is 16 .

LCM of Denominators means LCM of 988,435 as per the given fractions.

LCM of 988,435 is 429780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,1216

GCF of Fractions 112/988,1216/435 is 16/429780

2 112, 1216
2 56, 608
2 28, 304
2 14, 152
7, 76

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 112,1216 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,1216 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors 112,1216 . The biggest common factor number is the GCF number.
So the greatest common factor 112,1216 is 16.

Lets's calculate LCM of 988,435

Given numbers has no common factors except 1. So, there LCM is their product i.e 429780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/429780

Therefore, the GCF of Fractions 112/988,1216/435 is 16/429780

Least Common Multiple of 988,435 with GCF Formula

Least Common Multiple of 988,435 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 988,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,435) = 1

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

GCF(988,435) x common factors =1 x 1 = 1

LCM(988,435) = ( 988 × 435 ) / 1

LCM(988,435) = 429780 / 1

LCM(988,435) = 429780


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 112/988, 1216/435

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 112/988, 1216/435?

Answer: GCF of Numerators as per given numbers 112/988, 1216/435 is

GCF of Numerators i.e. for 112,1216 is 16

LCM of denominators i.e. for 988,435 is 429780.

Thus, GCF of Fractions is 16/429780.Finally, GCF of Fractions for 112/988, 1216/435 is 16/429780.