Greatest Common Factor of 5301/845, 8156/8698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5301/845, 8156/8698

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 5301/845,8156/8698

Given fractions are 5301/845,8156/8698

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 5301,8156

Greatest Common Factor of Numerators i.e. GCF of 5301,8156 is 1 .

LCM of Denominators means LCM of 845,8698 as per the given fractions.

LCM of 845,8698 is 7349810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5301,8156

GCF of Fractions 5301/845,8156/8698 is 1/7349810

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

Greatest Common Factor of 5301,8156 By Matching Biggest Common Factor Method

Greatest Common Factor of 5301,8156 By Matching Biggest Common Factor Method

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1,3,9,19,31,57,93,171,279,589,1767,5301

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1,2,4,2039,4078,8156

Greatest Common Factor

We found the factors 5301,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 5301,8156 is 1.

Lets's calculate LCM of 845,8698

Given numbers has no common factors except 1. So, there LCM is their product i.e 7349810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7349810

Therefore, the GCF of Fractions 5301/845,8156/8698 is 1/7349810

Least Common Multiple of 845,8698 with GCF Formula

Least Common Multiple of 845,8698 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 845,8698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,8698) = 1

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

GCF(845,8698) x common factors =1 x 1 = 1

LCM(845,8698) = ( 845 × 8698 ) / 1

LCM(845,8698) = 7349810 / 1

LCM(845,8698) = 7349810


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 5301/845, 8156/8698

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 5301/845, 8156/8698?

Answer: GCF of Numerators as per given numbers 5301/845, 8156/8698 is

GCF of Numerators i.e. for 5301,8156 is 1

LCM of denominators i.e. for 845,8698 is 7349810.

Thus, GCF of Fractions is 1/7349810.Finally, GCF of Fractions for 5301/845, 8156/8698 is 1/7349810.