Greatest Common Factor of 871/512, 705/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/512, 705/355

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 871/512,705/355

Given fractions are 871/512,705/355

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 871,705

Greatest Common Factor of Numerators i.e. GCF of 871,705 is 1 .

LCM of Denominators means LCM of 512,355 as per the given fractions.

LCM of 512,355 is 181760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,705

GCF of Fractions 871/512,705/355 is 1/181760

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

Greatest Common Factor of 871,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,705 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 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 871,705 . The biggest common factor number is the GCF number.
So the greatest common factor 871,705 is 1.

Lets's calculate LCM of 512,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 181760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181760

Therefore, the GCF of Fractions 871/512,705/355 is 1/181760

Least Common Multiple of 512,355 with GCF Formula

Least Common Multiple of 512,355 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 512,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,355) = 1

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

GCF(512,355) x common factors =1 x 1 = 1

LCM(512,355) = ( 512 × 355 ) / 1

LCM(512,355) = 181760 / 1

LCM(512,355) = 181760


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 871/512, 705/355

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 871/512, 705/355?

Answer: GCF of Numerators as per given numbers 871/512, 705/355 is

GCF of Numerators i.e. for 871,705 is 1

LCM of denominators i.e. for 512,355 is 181760.

Thus, GCF of Fractions is 1/181760.Finally, GCF of Fractions for 871/512, 705/355 is 1/181760.