Greatest Common Factor of 862/33, 725/5677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 862/33, 725/5677

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 862/33,725/5677

Given fractions are 862/33,725/5677

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 862,725

Greatest Common Factor of Numerators i.e. GCF of 862,725 is 1 .

LCM of Denominators means LCM of 33,5677 as per the given fractions.

LCM of 33,5677 is 187341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 862,725

GCF of Fractions 862/33,725/5677 is 1/187341

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

Greatest Common Factor of 862,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,725 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 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 862,725 . The biggest common factor number is the GCF number.
So the greatest common factor 862,725 is 1.

Lets's calculate LCM of 33,5677

Given numbers has no common factors except 1. So, there LCM is their product i.e 187341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187341

Therefore, the GCF of Fractions 862/33,725/5677 is 1/187341

Least Common Multiple of 33,5677 with GCF Formula

Least Common Multiple of 33,5677 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 33,5677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,5677) = 1

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

GCF(33,5677) x common factors =1 x 1 = 1

LCM(33,5677) = ( 33 × 5677 ) / 1

LCM(33,5677) = 187341 / 1

LCM(33,5677) = 187341


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 862/33, 725/5677

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 862/33, 725/5677?

Answer: GCF of Numerators as per given numbers 862/33, 725/5677 is

GCF of Numerators i.e. for 862,725 is 1

LCM of denominators i.e. for 33,5677 is 187341.

Thus, GCF of Fractions is 1/187341.Finally, GCF of Fractions for 862/33, 725/5677 is 1/187341.