Greatest Common Factor of 9805/778, 5210/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9805/778, 5210/152

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 9805/778,5210/152

Given fractions are 9805/778,5210/152

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 9805,5210

Greatest Common Factor of Numerators i.e. GCF of 9805,5210 is 5 .

LCM of Denominators means LCM of 778,152 as per the given fractions.

LCM of 778,152 is 59128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9805,5210

GCF of Fractions 9805/778,5210/152 is 5/59128

5 9805, 5210
1961, 1042

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9805,5210 By Matching Biggest Common Factor Method

Greatest Common Factor of 9805,5210 By Matching Biggest Common Factor Method

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1,5,37,53,185,265,1961,9805

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 9805,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,5210 is 5.

Lets's calculate LCM of 778,152

2 778, 152
389, 76

∴ So the LCM of the given numbers is 2 x 389 x 76 = 59128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59128

Therefore, the GCF of Fractions 9805/778,5210/152 is 5/59128

Least Common Multiple of 778,152 with GCF Formula

Least Common Multiple of 778,152 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 778,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,152) = 2

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

GCF(778,152) x common factors =2 x 1 = 2

LCM(778,152) = ( 778 × 152 ) / 2

LCM(778,152) = 118256 / 2

LCM(778,152) = 59128


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 9805/778, 5210/152

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 9805/778, 5210/152?

Answer: GCF of Numerators as per given numbers 9805/778, 5210/152 is

GCF of Numerators i.e. for 9805,5210 is 5

LCM of denominators i.e. for 778,152 is 59128.

Thus, GCF of Fractions is 5/59128.Finally, GCF of Fractions for 9805/778, 5210/152 is 5/59128.