Greatest Common Factor of 3748/96, 9428/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3748/96, 9428/450

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 3748/96,9428/450

Given fractions are 3748/96,9428/450

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 3748,9428

Greatest Common Factor of Numerators i.e. GCF of 3748,9428 is 4 .

LCM of Denominators means LCM of 96,450 as per the given fractions.

LCM of 96,450 is 7200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3748,9428

GCF of Fractions 3748/96,9428/450 is 4/7200

2 3748, 9428
2 1874, 4714
937, 2357

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3748,9428 By Matching Biggest Common Factor Method

Greatest Common Factor of 3748,9428 By Matching Biggest Common Factor Method

Factors of 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1,2,4,937,1874,3748

Factors of 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1,2,4,2357,4714,9428

Greatest Common Factor

We found the factors 3748,9428 . The biggest common factor number is the GCF number.
So the greatest common factor 3748,9428 is 4.

Lets's calculate LCM of 96,450

2 96, 450
3 48, 225
16, 75

∴ So the LCM of the given numbers is 2 x 3 x 16 x 75 = 7200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7200

Therefore, the GCF of Fractions 3748/96,9428/450 is 4/7200

Least Common Multiple of 96,450 with GCF Formula

Least Common Multiple of 96,450 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 96,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,450) = 6

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

GCF(96,450) x common factors =6 x 1 = 6

LCM(96,450) = ( 96 × 450 ) / 6

LCM(96,450) = 43200 / 6

LCM(96,450) = 7200


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 3748/96, 9428/450

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 3748/96, 9428/450?

Answer: GCF of Numerators as per given numbers 3748/96, 9428/450 is

GCF of Numerators i.e. for 3748,9428 is 4

LCM of denominators i.e. for 96,450 is 7200.

Thus, GCF of Fractions is 4/7200.Finally, GCF of Fractions for 3748/96, 9428/450 is 4/7200.