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GCF of 991/24, 529/310

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 991/24, 529/310 i.e 1/3720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 991/24, 529/310.

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 991/24,529/310?

Given fractions are 991/24,529/310

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 991/24,529/310, numerators are 991,529

Denominators are 24,310

The GCF of 991,529 is 1 .

LCM of 24,310 is 3720.

The greatest common factor of 991/24,529/310 = [GCF of 991,529]/[LCM of 24,310]= 1/3720

Therefore, the GCF of 991/24,529/310 is 1/3720.

Greatest Common Factor of 991,529

To find the highest common factor of 991,529, we have to find the factors of both numbers and list the highest common factor.

The factors of 991 are 1, 991

The factors of 529 are 1, 23, 529

The HCF of 991,529 is 1.

Lets's calculate GCF of 991,529

Greatest Common Factor (GCF) of 991,529 By Common Division

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

Greatest Common Factor of 991,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,529 By Matching Biggest Common Factor Method

Now, list down the factors of 991

:

1,991

Now, list down the factors of 529

:

1,23,529

Greatest Common Factor

We found the factors 991,529 . The biggest common factor number is the GCF number.
So the greatest common factor 991,529 is 1.

Lets's calculate LCM of 24,310

Lowest Common Multiple of 24,310 using Common Division

2 24, 310
12, 155

∴ So the LCM of the given numbers is 2 x 12 x 155 = 3720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3720

Therefore, the GCF of Fractions 991/24,529/310 is 1/3720

Least Common Multiple of 24,310 with GCF Formula

Least Common Multiple of 24,310 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 24,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,310) = 2

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

GCF(24,310) x common factors =2 x 1 = 2

LCM(24,310) = ( 24 × 310 ) / 2

LCM(24,310) = 7440 / 2

LCM(24,310) = 3720


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FAQs on GCF of Fractions of 991/24, 529/310

1. What is the HCF of 991,529?

The HCF of 991,529 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 991/24, 529/310?

Answer: GCF of Numerators as per given numbers 991/24, 529/310 is

GCF of Numerators i.e. for 991,529 is 1

LCM of denominators i.e. for 24,310 is 3720.

Thus, GCF of Fractions is 1/3720.Finally, GCF of Fractions for 991/24, 529/310 is 1/3720.