Greatest Common Factor of 208/89, 407/62, 676/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/89, 407/62, 676/528

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 208/89,407/62,676/528

Given fractions are 208/89,407/62,676/528

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 208,407,676

Greatest Common Factor of Numerators i.e. GCF of 208,407,676 is 1 .

LCM of Denominators means LCM of 89,62,528 as per the given fractions.

LCM of 89,62,528 is 1456752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,407,676

GCF of Fractions 208/89,407/62,676/528 is 1/1456752

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

Greatest Common Factor of 208,407,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,407,676 By Matching Biggest Common Factor Method

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

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 208,407,676 . The biggest common factor number is the GCF number.
So the greatest common factor 208,407,676 is 1.

Lets's calculate LCM of 89,62,528

2 89, 62, 528
89, 31, 264

∴ So the LCM of the given numbers is 2 x 89 x 31 x 264 = 1456752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1456752

Therefore, the GCF of Fractions 208/89,407/62,676/528 is 1/1456752

Least Common Multiple of 89,62,528 with GCF Formula

Least Common Multiple of 89,62,528 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 89,62,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,62,528) = 1

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

GCF(89,62,528) x common factors =1 x 2 = 2

LCM(89,62,528) = ( 89 × 62 × 528 ) / 2

LCM(89,62,528) = 2913504 / 2

LCM(89,62,528) = 1456752


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 208/89, 407/62, 676/528

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 208/89, 407/62, 676/528?

Answer: GCF of Numerators as per given numbers 208/89, 407/62, 676/528 is

GCF of Numerators i.e. for 208,407,676 is 1

LCM of denominators i.e. for 89,62,528 is 1456752.

Thus, GCF of Fractions is 1/1456752.Finally, GCF of Fractions for 208/89, 407/62, 676/528 is 1/1456752.