Greatest Common Factor of 9651/152, 1508/5858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9651/152, 1508/5858

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 9651/152,1508/5858

Given fractions are 9651/152,1508/5858

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 9651,1508

Greatest Common Factor of Numerators i.e. GCF of 9651,1508 is 1 .

LCM of Denominators means LCM of 152,5858 as per the given fractions.

LCM of 152,5858 is 445208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9651,1508

GCF of Fractions 9651/152,1508/5858 is 1/445208

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

Greatest Common Factor of 9651,1508 By Matching Biggest Common Factor Method

Greatest Common Factor of 9651,1508 By Matching Biggest Common Factor Method

Factors of 9651

List of positive integer factors of 9651 that divides 9651 without a remainder.

1,3,3217,9651

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 9651,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 9651,1508 is 1.

Lets's calculate LCM of 152,5858

2 152, 5858
76, 2929

∴ So the LCM of the given numbers is 2 x 76 x 2929 = 445208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445208

Therefore, the GCF of Fractions 9651/152,1508/5858 is 1/445208

Least Common Multiple of 152,5858 with GCF Formula

Least Common Multiple of 152,5858 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 152,5858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,5858) = 2

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

GCF(152,5858) x common factors =2 x 1 = 2

LCM(152,5858) = ( 152 × 5858 ) / 2

LCM(152,5858) = 890416 / 2

LCM(152,5858) = 445208


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 9651/152, 1508/5858

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 9651/152, 1508/5858?

Answer: GCF of Numerators as per given numbers 9651/152, 1508/5858 is

GCF of Numerators i.e. for 9651,1508 is 1

LCM of denominators i.e. for 152,5858 is 445208.

Thus, GCF of Fractions is 1/445208.Finally, GCF of Fractions for 9651/152, 1508/5858 is 1/445208.