How to Find GCF of 921/871, 5470/7059?

GCF of 921/871, 5470/7059

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 921/871, 5470/7059 i.e 1/472953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 921/871, 5470/7059.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 921/871,5470/7059?

Given fractions are 921/871,5470/7059

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 921/871,5470/7059, numerators are 921,5470

Denominators are 871,7059

The GCF of 921,5470 is 1 .

LCM of 871,7059 is 472953.

The greatest common factor of 921/871,5470/7059 = [GCF of 921,5470]/[LCM of 871,7059]= 1/472953

Therefore, the GCF of 921/871,5470/7059 is 1/472953.

Greatest Common Factor of 921,5470

To find the highest common factor of 921,5470, we have to find the factors of both numbers and list the highest common factor.

The factors of 921 are 1, 3, 307, 921

The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470

The HCF of 921,5470 is 1.

Lets's calculate GCF of 921,5470

Greatest Common Factor (GCF) of 921,5470 By Common Division

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

Greatest Common Factor of 921,5470 By Matching Biggest Common Factor Method

Now, list down the factors of 921

1,3,307,921

Now, list down the factors of 5470

1,2,5,10,547,1094,2735,5470

Greatest Common Factor

We found the factors 921,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 921,5470 is 1.

Lets's calculate LCM of 871,7059

Lowest Common Multiple of 871,7059 using Common Division

13	871, 7059
	67, 543

∴ So the LCM of the given numbers is 13 x 67 x 543 = 472953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472953

Therefore, the GCF of Fractions 921/871,5470/7059 is 1/472953

Least Common Multiple of 871,7059 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 871,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,7059) = 13

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

GCF(871,7059) x common factors =13 x 1 = 13

LCM(871,7059) = ( 871 × 7059 ) / 13

LCM(871,7059) = 6148389 / 13

LCM(871,7059) = 472953

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 921/871, 5470/7059

1. What is the HCF of 921,5470?

The HCF of 921,5470 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 921/871, 5470/7059?

Answer: GCF of Numerators as per given numbers 921/871, 5470/7059 is

GCF of Numerators i.e. for 921,5470 is 1

LCM of denominators i.e. for 871,7059 is 472953.

Thus, GCF of Fractions is 1/472953.Finally, GCF of Fractions for 921/871, 5470/7059 is 1/472953.