Greatest Common Factor of 620/196, 749/609, 518/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 620/196, 749/609, 518/536

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 620/196,749/609,518/536

Given fractions are 620/196,749/609,518/536

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 620,749,518

Greatest Common Factor of Numerators i.e. GCF of 620,749,518 is 1 .

LCM of Denominators means LCM of 196,609,536 as per the given fractions.

LCM of 196,609,536 is 2284968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 620,749,518

GCF of Fractions 620/196,749/609,518/536 is 1/2284968

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

Greatest Common Factor of 620,749,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,749,518 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 620,749,518 . The biggest common factor number is the GCF number.
So the greatest common factor 620,749,518 is 1.

Lets's calculate LCM of 196,609,536

2 196, 609, 536
2 98, 609, 268
7 49, 609, 134
7, 87, 134

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 87 x 134 = 2284968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2284968

Therefore, the GCF of Fractions 620/196,749/609,518/536 is 1/2284968

Least Common Multiple of 196,609,536 with GCF Formula

Least Common Multiple of 196,609,536 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 196,609,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,609,536) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(196,609,536) x common factors =1 x 28 = 28

LCM(196,609,536) = ( 196 × 609 × 536 ) / 28

LCM(196,609,536) = 63979104 / 28

LCM(196,609,536) = 2284968


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 620/196, 749/609, 518/536

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 620/196, 749/609, 518/536?

Answer: GCF of Numerators as per given numbers 620/196, 749/609, 518/536 is

GCF of Numerators i.e. for 620,749,518 is 1

LCM of denominators i.e. for 196,609,536 is 2284968.

Thus, GCF of Fractions is 1/2284968.Finally, GCF of Fractions for 620/196, 749/609, 518/536 is 1/2284968.