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GCF of 922/46, 461/280

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 922/46, 461/280 i.e 461/6440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/46, 461/280.

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 922/46,461/280?

Given fractions are 922/46,461/280

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 922/46,461/280, numerators are 922,461

Denominators are 46,280

The GCF of 922,461 is 461 .

LCM of 46,280 is 6440.

The greatest common factor of 922/46,461/280 = [GCF of 922,461]/[LCM of 46,280]= 461/6440

Therefore, the GCF of 922/46,461/280 is 461/6440.

Greatest Common Factor of 922,461

To find the highest common factor of 922,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 922 are 1, 2, 461, 922

The factors of 461 are 1, 461

The HCF of 922,461 is 461.

Lets's calculate GCF of 922,461

Greatest Common Factor (GCF) of 922,461 By Common Division

461 922, 461
2, 1

∴ So the GCF of the given numbers is 461 = 461

Greatest Common Factor of 922,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,461 By Matching Biggest Common Factor Method

Now, list down the factors of 922

:

1,2,461,922

Now, list down the factors of 461

:

1,461

Greatest Common Factor

We found the factors 922,461 . The biggest common factor number is the GCF number.
So the greatest common factor 922,461 is 461.

Lets's calculate LCM of 46,280

Lowest Common Multiple of 46,280 using Common Division

2 46, 280
23, 140

∴ So the LCM of the given numbers is 2 x 23 x 140 = 6440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 461/6440

Therefore, the GCF of Fractions 922/46,461/280 is 461/6440

Least Common Multiple of 46,280 with GCF Formula

Least Common Multiple of 46,280 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 46,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,280) = 2

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

GCF(46,280) x common factors =2 x 1 = 2

LCM(46,280) = ( 46 × 280 ) / 2

LCM(46,280) = 12880 / 2

LCM(46,280) = 6440


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FAQs on GCF of Fractions of 922/46, 461/280

1. What is the HCF of 922,461?

The HCF of 922,461 is 461

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 922/46, 461/280?

Answer: GCF of Numerators as per given numbers 922/46, 461/280 is

GCF of Numerators i.e. for 922,461 is 461

LCM of denominators i.e. for 46,280 is 6440.

Thus, GCF of Fractions is 461/6440.Finally, GCF of Fractions for 922/46, 461/280 is 461/6440.