Greatest Common Factor of 862/980, 1473/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/980, 1473/288

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 862/980,1473/288

Given fractions are 862/980,1473/288

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 862,1473

Greatest Common Factor of Numerators i.e. GCF of 862,1473 is 1 .

LCM of Denominators means LCM of 980,288 as per the given fractions.

LCM of 980,288 is 70560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,1473

GCF of Fractions 862/980,1473/288 is 1/70560

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

Greatest Common Factor of 862,1473 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,1473 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 1473

List of positive integer factors of 1473 that divides 1473 without a remainder.

1,3,491,1473

Greatest Common Factor

We found the factors 862,1473 . The biggest common factor number is the GCF number.
So the greatest common factor 862,1473 is 1.

Lets's calculate LCM of 980,288

2 980, 288
2 490, 144
245, 72

∴ So the LCM of the given numbers is 2 x 2 x 245 x 72 = 70560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70560

Therefore, the GCF of Fractions 862/980,1473/288 is 1/70560

Least Common Multiple of 980,288 with GCF Formula

Least Common Multiple of 980,288 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 980,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,288) = 4

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

GCF(980,288) x common factors =4 x 1 = 4

LCM(980,288) = ( 980 × 288 ) / 4

LCM(980,288) = 282240 / 4

LCM(980,288) = 70560


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 862/980, 1473/288

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 862/980, 1473/288?

Answer: GCF of Numerators as per given numbers 862/980, 1473/288 is

GCF of Numerators i.e. for 862,1473 is 1

LCM of denominators i.e. for 980,288 is 70560.

Thus, GCF of Fractions is 1/70560.Finally, GCF of Fractions for 862/980, 1473/288 is 1/70560.