Greatest Common Factor of 1862/900, 7472/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1862/900, 7472/316

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 1862/900,7472/316

Given fractions are 1862/900,7472/316

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 1862,7472

Greatest Common Factor of Numerators i.e. GCF of 1862,7472 is 2 .

LCM of Denominators means LCM of 900,316 as per the given fractions.

LCM of 900,316 is 71100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1862,7472

GCF of Fractions 1862/900,7472/316 is 2/71100

2 1862, 7472
931, 3736

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

Greatest Common Factor of 1862,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 1862,7472 By Matching Biggest Common Factor Method

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1,2,7,14,19,38,49,98,133,266,931,1862

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 1862,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,7472 is 2.

Lets's calculate LCM of 900,316

2 900, 316
2 450, 158
225, 79

∴ So the LCM of the given numbers is 2 x 2 x 225 x 79 = 71100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71100

Therefore, the GCF of Fractions 1862/900,7472/316 is 2/71100

Least Common Multiple of 900,316 with GCF Formula

Least Common Multiple of 900,316 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 900,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,316) = 4

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

GCF(900,316) x common factors =4 x 1 = 4

LCM(900,316) = ( 900 × 316 ) / 4

LCM(900,316) = 284400 / 4

LCM(900,316) = 71100


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 1862/900, 7472/316

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 1862/900, 7472/316?

Answer: GCF of Numerators as per given numbers 1862/900, 7472/316 is

GCF of Numerators i.e. for 1862,7472 is 2

LCM of denominators i.e. for 900,316 is 71100.

Thus, GCF of Fractions is 2/71100.Finally, GCF of Fractions for 1862/900, 7472/316 is 2/71100.