Greatest Common Factor of 1084/52, 4221/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1084/52, 4221/871

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 1084/52,4221/871

Given fractions are 1084/52,4221/871

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 1084,4221

Greatest Common Factor of Numerators i.e. GCF of 1084,4221 is 1 .

LCM of Denominators means LCM of 52,871 as per the given fractions.

LCM of 52,871 is 3484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1084,4221

GCF of Fractions 1084/52,4221/871 is 1/3484

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

Greatest Common Factor of 1084,4221 By Matching Biggest Common Factor Method

Greatest Common Factor of 1084,4221 By Matching Biggest Common Factor Method

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Factors of 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1,3,7,9,21,63,67,201,469,603,1407,4221

Greatest Common Factor

We found the factors 1084,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 1084,4221 is 1.

Lets's calculate LCM of 52,871

13 52, 871
4, 67

∴ So the LCM of the given numbers is 13 x 4 x 67 = 3484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3484

Therefore, the GCF of Fractions 1084/52,4221/871 is 1/3484

Least Common Multiple of 52,871 with GCF Formula

Least Common Multiple of 52,871 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 52,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,871) = 13

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

GCF(52,871) x common factors =13 x 1 = 13

LCM(52,871) = ( 52 × 871 ) / 13

LCM(52,871) = 45292 / 13

LCM(52,871) = 3484


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 1084/52, 4221/871

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 1084/52, 4221/871?

Answer: GCF of Numerators as per given numbers 1084/52, 4221/871 is

GCF of Numerators i.e. for 1084,4221 is 1

LCM of denominators i.e. for 52,871 is 3484.

Thus, GCF of Fractions is 1/3484.Finally, GCF of Fractions for 1084/52, 4221/871 is 1/3484.