Greatest Common Factor of 34/839, 638/563, 980/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 34/839, 638/563, 980/820

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 34/839,638/563,980/820

Given fractions are 34/839,638/563,980/820

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 34,638,980

Greatest Common Factor of Numerators i.e. GCF of 34,638,980 is 2 .

LCM of Denominators means LCM of 839,563,820 as per the given fractions.

LCM of 839,563,820 is 387332740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,638,980

GCF of Fractions 34/839,638/563,980/820 is 2/387332740

2 34, 638, 980
17, 319, 490

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,638,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,638,980 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 34,638,980 . The biggest common factor number is the GCF number.
So the greatest common factor 34,638,980 is 2.


Lets's calculate LCM of 839,563,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 387332740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387332740

Therefore, the GCF of Fractions 34/839,638/563,980/820 is 2/387332740

Least Common Multiple of 839,563,820 with GCF Formula

Least Common Multiple of 839,563,820 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 839,563,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,563,820) = 1

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

GCF(839,563,820) x common factors =1 x 1 = 1

LCM(839,563,820) = ( 839 × 563 × 820 ) / 1

LCM(839,563,820) = 387332740 / 1

LCM(839,563,820) = 387332740


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 34/839, 638/563, 980/820

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 34/839, 638/563, 980/820?

Answer: GCF of Numerators as per given numbers 34/839, 638/563, 980/820 is

GCF of Numerators i.e. for 34,638,980 is 2

LCM of denominators i.e. for 839,563,820 is 387332740.

Thus, GCF of Fractions is 2/387332740.Finally, GCF of Fractions for 34/839, 638/563, 980/820 is 2/387332740.