How to Find GCF of 8248/971, 5790/9461?

GCF of 8248/971, 5790/9461

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 8248/971, 5790/9461 i.e 2/9186631 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8248/971, 5790/9461.

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 8248/971,5790/9461?

Given fractions are 8248/971,5790/9461

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 8248/971,5790/9461, numerators are 8248,5790

Denominators are 971,9461

The GCF of 8248,5790 is 2 .

LCM of 971,9461 is 9186631.

The greatest common factor of 8248/971,5790/9461 = [GCF of 8248,5790]/[LCM of 971,9461]= 2/9186631

Therefore, the GCF of 8248/971,5790/9461 is 2/9186631.

Greatest Common Factor of 8248,5790

To find the highest common factor of 8248,5790, we have to find the factors of both numbers and list the highest common factor.

The factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248

The factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790

The HCF of 8248,5790 is 2.

Lets's calculate GCF of 8248,5790

Greatest Common Factor (GCF) of 8248,5790 By Common Division

2	8248, 5790
	4124, 2895

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8248,5790 By Matching Biggest Common Factor Method

Now, list down the factors of 8248

1,2,4,8,1031,2062,4124,8248

Now, list down the factors of 5790

1,2,3,5,6,10,15,30,193,386,579,965,1158,1930,2895,5790

Greatest Common Factor

We found the factors 8248,5790 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,5790 is 2.

Lets's calculate LCM of 971,9461

Lowest Common Multiple of 971,9461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9186631

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9186631

Therefore, the GCF of Fractions 8248/971,5790/9461 is 2/9186631

Least Common Multiple of 971,9461 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 971,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,9461) = 1

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

GCF(971,9461) x common factors =1 x 1 = 1

LCM(971,9461) = ( 971 × 9461 ) / 1

LCM(971,9461) = 9186631 / 1

LCM(971,9461) = 9186631

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8248/971, 5790/9461

1. What is the HCF of 8248,5790?

The HCF of 8248,5790 is 2

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 8248/971, 5790/9461?

Answer: GCF of Numerators as per given numbers 8248/971, 5790/9461 is

GCF of Numerators i.e. for 8248,5790 is 2

LCM of denominators i.e. for 971,9461 is 9186631.

Thus, GCF of Fractions is 2/9186631.Finally, GCF of Fractions for 8248/971, 5790/9461 is 2/9186631.