Greatest Common Factor of 856/553, 988/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/553, 988/221

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 856/553,988/221

Given fractions are 856/553,988/221

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 856,988

Greatest Common Factor of Numerators i.e. GCF of 856,988 is 4 .

LCM of Denominators means LCM of 553,221 as per the given fractions.

LCM of 553,221 is 122213 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,988

GCF of Fractions 856/553,988/221 is 4/122213

2 856, 988
2 428, 494
214, 247

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 856,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,988 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 856,988 . The biggest common factor number is the GCF number.
So the greatest common factor 856,988 is 4.

Lets's calculate LCM of 553,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 122213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/122213

Therefore, the GCF of Fractions 856/553,988/221 is 4/122213

Least Common Multiple of 553,221 with GCF Formula

Least Common Multiple of 553,221 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 553,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,221) = 1

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

GCF(553,221) x common factors =1 x 1 = 1

LCM(553,221) = ( 553 × 221 ) / 1

LCM(553,221) = 122213 / 1

LCM(553,221) = 122213


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 856/553, 988/221

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 856/553, 988/221?

Answer: GCF of Numerators as per given numbers 856/553, 988/221 is

GCF of Numerators i.e. for 856,988 is 4

LCM of denominators i.e. for 553,221 is 122213.

Thus, GCF of Fractions is 4/122213.Finally, GCF of Fractions for 856/553, 988/221 is 4/122213.