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GCF of 911/46, 920/538

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 911/46, 920/538 i.e 1/12374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/46, 920/538.

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 911/46,920/538?

Given fractions are 911/46,920/538

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 911/46,920/538, numerators are 911,920

Denominators are 46,538

The GCF of 911,920 is 1 .

LCM of 46,538 is 12374.

The greatest common factor of 911/46,920/538 = [GCF of 911,920]/[LCM of 46,538]= 1/12374

Therefore, the GCF of 911/46,920/538 is 1/12374.

Greatest Common Factor of 911,920

To find the highest common factor of 911,920, 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 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The HCF of 911,920 is 1.

Lets's calculate GCF of 911,920

Greatest Common Factor (GCF) of 911,920 By Common Division

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

Greatest Common Factor of 911,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,920 By Matching Biggest Common Factor Method

Now, list down the factors of 911

:

1,911

Now, list down the factors of 920

:

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 911,920 . The biggest common factor number is the GCF number.
So the greatest common factor 911,920 is 1.

Lets's calculate LCM of 46,538

Lowest Common Multiple of 46,538 using Common Division

2 46, 538
23, 269

∴ So the LCM of the given numbers is 2 x 23 x 269 = 12374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12374

Therefore, the GCF of Fractions 911/46,920/538 is 1/12374

Least Common Multiple of 46,538 with GCF Formula

Least Common Multiple of 46,538 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 46,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,538) = 2

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

GCF(46,538) x common factors =2 x 1 = 2

LCM(46,538) = ( 46 × 538 ) / 2

LCM(46,538) = 24748 / 2

LCM(46,538) = 12374


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FAQs on GCF of Fractions of 911/46, 920/538

1. What is the HCF of 911,920?

The HCF of 911,920 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 911/46, 920/538?

Answer: GCF of Numerators as per given numbers 911/46, 920/538 is

GCF of Numerators i.e. for 911,920 is 1

LCM of denominators i.e. for 46,538 is 12374.

Thus, GCF of Fractions is 1/12374.Finally, GCF of Fractions for 911/46, 920/538 is 1/12374.