Greatest Common Factor of 988/64, 201/22, 208/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/64, 201/22, 208/984

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 988/64,201/22,208/984

Given fractions are 988/64,201/22,208/984

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 988,201,208

Greatest Common Factor of Numerators i.e. GCF of 988,201,208 is 1 .

LCM of Denominators means LCM of 64,22,984 as per the given fractions.

LCM of 64,22,984 is 86592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,201,208

GCF of Fractions 988/64,201/22,208/984 is 1/86592

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

Greatest Common Factor of 988,201,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,201,208 By Matching Biggest Common Factor Method

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

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 988,201,208 . The biggest common factor number is the GCF number.
So the greatest common factor 988,201,208 is 1.

Lets's calculate LCM of 64,22,984

2 64, 22, 984
2 32, 11, 492
2 16, 11, 246
8, 11, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 11 x 123 = 86592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86592

Therefore, the GCF of Fractions 988/64,201/22,208/984 is 1/86592

Least Common Multiple of 64,22,984 with GCF Formula

Least Common Multiple of 64,22,984 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 64,22,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,22,984) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(64,22,984) x common factors =2 x 8 = 16

LCM(64,22,984) = ( 64 × 22 × 984 ) / 16

LCM(64,22,984) = 1385472 / 16

LCM(64,22,984) = 86592


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 988/64, 201/22, 208/984

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 988/64, 201/22, 208/984?

Answer: GCF of Numerators as per given numbers 988/64, 201/22, 208/984 is

GCF of Numerators i.e. for 988,201,208 is 1

LCM of denominators i.e. for 64,22,984 is 86592.

Thus, GCF of Fractions is 1/86592.Finally, GCF of Fractions for 988/64, 201/22, 208/984 is 1/86592.