Greatest Common Factor of 862/62, 7369/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/62, 7369/560

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 862/62,7369/560

Given fractions are 862/62,7369/560

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 862,7369

Greatest Common Factor of Numerators i.e. GCF of 862,7369 is 1 .

LCM of Denominators means LCM of 62,560 as per the given fractions.

LCM of 62,560 is 17360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,7369

GCF of Fractions 862/62,7369/560 is 1/17360

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

Greatest Common Factor of 862,7369 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,7369 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 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1,7369

Greatest Common Factor

We found the factors 862,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 862,7369 is 1.

Lets's calculate LCM of 62,560

2 62, 560
31, 280

∴ So the LCM of the given numbers is 2 x 31 x 280 = 17360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17360

Therefore, the GCF of Fractions 862/62,7369/560 is 1/17360

Least Common Multiple of 62,560 with GCF Formula

Least Common Multiple of 62,560 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 62,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,560) = 2

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

GCF(62,560) x common factors =2 x 1 = 2

LCM(62,560) = ( 62 × 560 ) / 2

LCM(62,560) = 34720 / 2

LCM(62,560) = 17360


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 862/62, 7369/560

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 862/62, 7369/560?

Answer: GCF of Numerators as per given numbers 862/62, 7369/560 is

GCF of Numerators i.e. for 862,7369 is 1

LCM of denominators i.e. for 62,560 is 17360.

Thus, GCF of Fractions is 1/17360.Finally, GCF of Fractions for 862/62, 7369/560 is 1/17360.