How to Find GCF of 924/161, 4591/591?

GCF of 924/161, 4591/591

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 924/161, 4591/591 i.e 1/95151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/161, 4591/591.

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 924/161,4591/591?

Given fractions are 924/161,4591/591

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 924/161,4591/591, numerators are 924,4591

Denominators are 161,591

The GCF of 924,4591 is 1 .

LCM of 161,591 is 95151.

The greatest common factor of 924/161,4591/591 = [GCF of 924,4591]/[LCM of 161,591]= 1/95151

Therefore, the GCF of 924/161,4591/591 is 1/95151.

Greatest Common Factor of 924,4591

To find the highest common factor of 924,4591, we have to find the factors of both numbers and list the highest common factor.

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The factors of 4591 are 1, 4591

The HCF of 924,4591 is 1.

Lets's calculate GCF of 924,4591

Greatest Common Factor (GCF) of 924,4591 By Common Division

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

Greatest Common Factor of 924,4591 By Matching Biggest Common Factor Method

Now, list down the factors of 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Now, list down the factors of 4591

1,4591

Greatest Common Factor

We found the factors 924,4591 . The biggest common factor number is the GCF number.
So the greatest common factor 924,4591 is 1.

Lets's calculate LCM of 161,591

Lowest Common Multiple of 161,591 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 95151

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95151

Therefore, the GCF of Fractions 924/161,4591/591 is 1/95151

Least Common Multiple of 161,591 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 161,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,591) = 1

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

GCF(161,591) x common factors =1 x 1 = 1

LCM(161,591) = ( 161 × 591 ) / 1

LCM(161,591) = 95151 / 1

LCM(161,591) = 95151

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FAQs on GCF of Fractions of 924/161, 4591/591

1. What is the HCF of 924,4591?

The HCF of 924,4591 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 924/161, 4591/591?

Answer: GCF of Numerators as per given numbers 924/161, 4591/591 is

GCF of Numerators i.e. for 924,4591 is 1

LCM of denominators i.e. for 161,591 is 95151.

Thus, GCF of Fractions is 1/95151.Finally, GCF of Fractions for 924/161, 4591/591 is 1/95151.