Greatest Common Factor of 988/296, 527/390, 416/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/296, 527/390, 416/401

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 988/296,527/390,416/401

Given fractions are 988/296,527/390,416/401

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 988,527,416

Greatest Common Factor of Numerators i.e. GCF of 988,527,416 is 1 .

LCM of Denominators means LCM of 296,390,401 as per the given fractions.

LCM of 296,390,401 is 23145720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,527,416

GCF of Fractions 988/296,527/390,416/401 is 1/23145720

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

Greatest Common Factor of 988,527,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,527,416 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 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 988,527,416 . The biggest common factor number is the GCF number.
So the greatest common factor 988,527,416 is 1.

Lets's calculate LCM of 296,390,401

2 296, 390, 401
148, 195, 401

∴ So the LCM of the given numbers is 2 x 148 x 195 x 401 = 23145720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23145720

Therefore, the GCF of Fractions 988/296,527/390,416/401 is 1/23145720

Least Common Multiple of 296,390,401 with GCF Formula

Least Common Multiple of 296,390,401 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 296,390,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,390,401) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(296,390,401) x common factors =1 x 2 = 2

LCM(296,390,401) = ( 296 × 390 × 401 ) / 2

LCM(296,390,401) = 46291440 / 2

LCM(296,390,401) = 23145720


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 988/296, 527/390, 416/401

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 988/296, 527/390, 416/401?

Answer: GCF of Numerators as per given numbers 988/296, 527/390, 416/401 is

GCF of Numerators i.e. for 988,527,416 is 1

LCM of denominators i.e. for 296,390,401 is 23145720.

Thus, GCF of Fractions is 1/23145720.Finally, GCF of Fractions for 988/296, 527/390, 416/401 is 1/23145720.