Greatest Common Factor of 871/611, 4304/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/611, 4304/682

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 871/611,4304/682

Given fractions are 871/611,4304/682

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 871,4304

Greatest Common Factor of Numerators i.e. GCF of 871,4304 is 1 .

LCM of Denominators means LCM of 611,682 as per the given fractions.

LCM of 611,682 is 416702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,4304

GCF of Fractions 871/611,4304/682 is 1/416702

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

Greatest Common Factor of 871,4304 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,4304 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Greatest Common Factor

We found the factors 871,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 871,4304 is 1.

Lets's calculate LCM of 611,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 416702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416702

Therefore, the GCF of Fractions 871/611,4304/682 is 1/416702

Least Common Multiple of 611,682 with GCF Formula

Least Common Multiple of 611,682 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 611,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,682) = 1

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

GCF(611,682) x common factors =1 x 1 = 1

LCM(611,682) = ( 611 × 682 ) / 1

LCM(611,682) = 416702 / 1

LCM(611,682) = 416702


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 871/611, 4304/682

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 871/611, 4304/682?

Answer: GCF of Numerators as per given numbers 871/611, 4304/682 is

GCF of Numerators i.e. for 871,4304 is 1

LCM of denominators i.e. for 611,682 is 416702.

Thus, GCF of Fractions is 1/416702.Finally, GCF of Fractions for 871/611, 4304/682 is 1/416702.