Greatest Common Factor of 871/49, 532/74, 899/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/49, 532/74, 899/277

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 871/49,532/74,899/277

Given fractions are 871/49,532/74,899/277

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 871,532,899

Greatest Common Factor of Numerators i.e. GCF of 871,532,899 is 1 .

LCM of Denominators means LCM of 49,74,277 as per the given fractions.

LCM of 49,74,277 is 1004402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,532,899

GCF of Fractions 871/49,532/74,899/277 is 1/1004402

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

Greatest Common Factor of 871,532,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,532,899 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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 871,532,899 . The biggest common factor number is the GCF number.
So the greatest common factor 871,532,899 is 1.

Lets's calculate LCM of 49,74,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 1004402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1004402

Therefore, the GCF of Fractions 871/49,532/74,899/277 is 1/1004402

Least Common Multiple of 49,74,277 with GCF Formula

Least Common Multiple of 49,74,277 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 49,74,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,74,277) = 1

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

GCF(49,74,277) x common factors =1 x 1 = 1

LCM(49,74,277) = ( 49 × 74 × 277 ) / 1

LCM(49,74,277) = 1004402 / 1

LCM(49,74,277) = 1004402


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 871/49, 532/74, 899/277

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 871/49, 532/74, 899/277?

Answer: GCF of Numerators as per given numbers 871/49, 532/74, 899/277 is

GCF of Numerators i.e. for 871,532,899 is 1

LCM of denominators i.e. for 49,74,277 is 1004402.

Thus, GCF of Fractions is 1/1004402.Finally, GCF of Fractions for 871/49, 532/74, 899/277 is 1/1004402.