Greatest Common Factor of 39/877, 532/100, 589/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 39/877, 532/100, 589/351

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 39/877,532/100,589/351

Given fractions are 39/877,532/100,589/351

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 39,532,589

Greatest Common Factor of Numerators i.e. GCF of 39,532,589 is 1 .

LCM of Denominators means LCM of 877,100,351 as per the given fractions.

LCM of 877,100,351 is 30782700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,532,589

GCF of Fractions 39/877,532/100,589/351 is 1/30782700

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

Greatest Common Factor of 39,532,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,532,589 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 39,532,589 . The biggest common factor number is the GCF number.
So the greatest common factor 39,532,589 is 1.


Lets's calculate LCM of 877,100,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 30782700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30782700

Therefore, the GCF of Fractions 39/877,532/100,589/351 is 1/30782700

Least Common Multiple of 877,100,351 with GCF Formula

Least Common Multiple of 877,100,351 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 877,100,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,100,351) = 1

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

GCF(877,100,351) x common factors =1 x 1 = 1

LCM(877,100,351) = ( 877 × 100 × 351 ) / 1

LCM(877,100,351) = 30782700 / 1

LCM(877,100,351) = 30782700


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 39/877, 532/100, 589/351

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 39/877, 532/100, 589/351?

Answer: GCF of Numerators as per given numbers 39/877, 532/100, 589/351 is

GCF of Numerators i.e. for 39,532,589 is 1

LCM of denominators i.e. for 877,100,351 is 30782700.

Thus, GCF of Fractions is 1/30782700.Finally, GCF of Fractions for 39/877, 532/100, 589/351 is 1/30782700.