Greatest Common Factor of 5897/356, 9300/8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5897/356, 9300/8076

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 5897/356,9300/8076

Given fractions are 5897/356,9300/8076

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 5897,9300

Greatest Common Factor of Numerators i.e. GCF of 5897,9300 is 1 .

LCM of Denominators means LCM of 356,8076 as per the given fractions.

LCM of 356,8076 is 718764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5897,9300

GCF of Fractions 5897/356,9300/8076 is 1/718764

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

Greatest Common Factor of 5897,9300 By Matching Biggest Common Factor Method

Greatest Common Factor of 5897,9300 By Matching Biggest Common Factor Method

Factors of 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1,5897

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Greatest Common Factor

We found the factors 5897,9300 . The biggest common factor number is the GCF number.
So the greatest common factor 5897,9300 is 1.

Lets's calculate LCM of 356,8076

2 356, 8076
2 178, 4038
89, 2019

∴ So the LCM of the given numbers is 2 x 2 x 89 x 2019 = 718764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718764

Therefore, the GCF of Fractions 5897/356,9300/8076 is 1/718764

Least Common Multiple of 356,8076 with GCF Formula

Least Common Multiple of 356,8076 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 356,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,8076) = 4

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

GCF(356,8076) x common factors =4 x 1 = 4

LCM(356,8076) = ( 356 × 8076 ) / 4

LCM(356,8076) = 2875056 / 4

LCM(356,8076) = 718764


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 5897/356, 9300/8076

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 5897/356, 9300/8076?

Answer: GCF of Numerators as per given numbers 5897/356, 9300/8076 is

GCF of Numerators i.e. for 5897,9300 is 1

LCM of denominators i.e. for 356,8076 is 718764.

Thus, GCF of Fractions is 1/718764.Finally, GCF of Fractions for 5897/356, 9300/8076 is 1/718764.