LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 911/870, 3124/826

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 911/870, 3124/826 i.e 1/359310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/870, 3124/826.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 911/870,3124/826?

Given fractions are 911/870,3124/826

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 911/870,3124/826, numerators are 911,3124

Denominators are 870,826

The GCF of 911,3124 is 1 .

LCM of 870,826 is 359310.

The greatest common factor of 911/870,3124/826 = [GCF of 911,3124]/[LCM of 870,826]= 1/359310

Therefore, the GCF of 911/870,3124/826 is 1/359310.

Greatest Common Factor of 911,3124

To find the highest common factor of 911,3124, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124

The HCF of 911,3124 is 1.

Lets's calculate GCF of 911,3124

Greatest Common Factor (GCF) of 911,3124 By Common Division

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

Greatest Common Factor of 911,3124 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,3124 By Matching Biggest Common Factor Method

Now, list down the factors of 911

:

1,911

Now, list down the factors of 3124

:

1,2,4,11,22,44,71,142,284,781,1562,3124

Greatest Common Factor

We found the factors 911,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 911,3124 is 1.

Lets's calculate LCM of 870,826

Lowest Common Multiple of 870,826 using Common Division

2 870, 826
435, 413

∴ So the LCM of the given numbers is 2 x 435 x 413 = 359310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359310

Therefore, the GCF of Fractions 911/870,3124/826 is 1/359310

Least Common Multiple of 870,826 with GCF Formula

Least Common Multiple of 870,826 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 870,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,826) = 2

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

GCF(870,826) x common factors =2 x 1 = 2

LCM(870,826) = ( 870 × 826 ) / 2

LCM(870,826) = 718620 / 2

LCM(870,826) = 359310


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 911/870, 3124/826

1. What is the HCF of 911,3124?

The HCF of 911,3124 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 911/870, 3124/826?

Answer: GCF of Numerators as per given numbers 911/870, 3124/826 is

GCF of Numerators i.e. for 911,3124 is 1

LCM of denominators i.e. for 870,826 is 359310.

Thus, GCF of Fractions is 1/359310.Finally, GCF of Fractions for 911/870, 3124/826 is 1/359310.