Greatest Common Factor of 988/201, 366/146, 827/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/201, 366/146, 827/597

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 988/201,366/146,827/597

Given fractions are 988/201,366/146,827/597

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 988,366,827

Greatest Common Factor of Numerators i.e. GCF of 988,366,827 is 1 .

LCM of Denominators means LCM of 201,146,597 as per the given fractions.

LCM of 201,146,597 is 5839854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,366,827

GCF of Fractions 988/201,366/146,827/597 is 1/5839854

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

Greatest Common Factor of 988,366,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,366,827 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 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 988,366,827 . The biggest common factor number is the GCF number.
So the greatest common factor 988,366,827 is 1.

Lets's calculate LCM of 201,146,597

3 201, 146, 597
67, 146, 199

∴ So the LCM of the given numbers is 3 x 67 x 146 x 199 = 5839854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5839854

Therefore, the GCF of Fractions 988/201,366/146,827/597 is 1/5839854

Least Common Multiple of 201,146,597 with GCF Formula

Least Common Multiple of 201,146,597 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 201,146,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,146,597) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(201,146,597) x common factors =1 x 3 = 3

LCM(201,146,597) = ( 201 × 146 × 597 ) / 3

LCM(201,146,597) = 17519562 / 3

LCM(201,146,597) = 5839854


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 988/201, 366/146, 827/597

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 988/201, 366/146, 827/597?

Answer: GCF of Numerators as per given numbers 988/201, 366/146, 827/597 is

GCF of Numerators i.e. for 988,366,827 is 1

LCM of denominators i.e. for 201,146,597 is 5839854.

Thus, GCF of Fractions is 1/5839854.Finally, GCF of Fractions for 988/201, 366/146, 827/597 is 1/5839854.