Greatest Common Factor of 9812/746, 1575/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9812/746, 1575/148

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 9812/746,1575/148

Given fractions are 9812/746,1575/148

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 9812,1575

Greatest Common Factor of Numerators i.e. GCF of 9812,1575 is 1 .

LCM of Denominators means LCM of 746,148 as per the given fractions.

LCM of 746,148 is 55204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9812,1575

GCF of Fractions 9812/746,1575/148 is 1/55204

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

Greatest Common Factor of 9812,1575 By Matching Biggest Common Factor Method

Greatest Common Factor of 9812,1575 By Matching Biggest Common Factor Method

Factors of 9812

List of positive integer factors of 9812 that divides 9812 without a remainder.

1,2,4,11,22,44,223,446,892,2453,4906,9812

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Greatest Common Factor

We found the factors 9812,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 9812,1575 is 1.

Lets's calculate LCM of 746,148

2 746, 148
373, 74

∴ So the LCM of the given numbers is 2 x 373 x 74 = 55204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55204

Therefore, the GCF of Fractions 9812/746,1575/148 is 1/55204

Least Common Multiple of 746,148 with GCF Formula

Least Common Multiple of 746,148 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 746,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,148) = 2

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

GCF(746,148) x common factors =2 x 1 = 2

LCM(746,148) = ( 746 × 148 ) / 2

LCM(746,148) = 110408 / 2

LCM(746,148) = 55204


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 9812/746, 1575/148

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 9812/746, 1575/148?

Answer: GCF of Numerators as per given numbers 9812/746, 1575/148 is

GCF of Numerators i.e. for 9812,1575 is 1

LCM of denominators i.e. for 746,148 is 55204.

Thus, GCF of Fractions is 1/55204.Finally, GCF of Fractions for 9812/746, 1575/148 is 1/55204.