Greatest Common Factor of 5301/526, 3231/7335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5301/526, 3231/7335

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 5301/526,3231/7335

Given fractions are 5301/526,3231/7335

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 5301,3231

Greatest Common Factor of Numerators i.e. GCF of 5301,3231 is 9 .

LCM of Denominators means LCM of 526,7335 as per the given fractions.

LCM of 526,7335 is 3858210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5301,3231

GCF of Fractions 5301/526,3231/7335 is 9/3858210

3 5301, 3231
3 1767, 1077
589, 359

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5301,3231 By Matching Biggest Common Factor Method

Greatest Common Factor of 5301,3231 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 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1,3,9,359,1077,3231

Greatest Common Factor

We found the factors 5301,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 5301,3231 is 9.

Lets's calculate LCM of 526,7335

Given numbers has no common factors except 1. So, there LCM is their product i.e 3858210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3858210

Therefore, the GCF of Fractions 5301/526,3231/7335 is 9/3858210

Least Common Multiple of 526,7335 with GCF Formula

Least Common Multiple of 526,7335 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 526,7335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,7335) = 1

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

GCF(526,7335) x common factors =1 x 1 = 1

LCM(526,7335) = ( 526 × 7335 ) / 1

LCM(526,7335) = 3858210 / 1

LCM(526,7335) = 3858210


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 5301/526, 3231/7335

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 5301/526, 3231/7335?

Answer: GCF of Numerators as per given numbers 5301/526, 3231/7335 is

GCF of Numerators i.e. for 5301,3231 is 9

LCM of denominators i.e. for 526,7335 is 3858210.

Thus, GCF of Fractions is 9/3858210.Finally, GCF of Fractions for 5301/526, 3231/7335 is 9/3858210.