How to Find GCF of 8359/980, 8101/9488?

GCF of 8359/980, 8101/9488

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 8359/980, 8101/9488 i.e 1/2324560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8359/980, 8101/9488.

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 8359/980,8101/9488?

Given fractions are 8359/980,8101/9488

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 8359/980,8101/9488, numerators are 8359,8101

Denominators are 980,9488

The GCF of 8359,8101 is 1 .

LCM of 980,9488 is 2324560.

The greatest common factor of 8359/980,8101/9488 = [GCF of 8359,8101]/[LCM of 980,9488]= 1/2324560

Therefore, the GCF of 8359/980,8101/9488 is 1/2324560.

Greatest Common Factor of 8359,8101

To find the highest common factor of 8359,8101, we have to find the factors of both numbers and list the highest common factor.

The factors of 8359 are 1, 13, 643, 8359

The factors of 8101 are 1, 8101

The HCF of 8359,8101 is 1.

Lets's calculate GCF of 8359,8101

Greatest Common Factor (GCF) of 8359,8101 By Common Division

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

Greatest Common Factor of 8359,8101 By Matching Biggest Common Factor Method

Now, list down the factors of 8359

1,13,643,8359

Now, list down the factors of 8101

1,8101

Greatest Common Factor

We found the factors 8359,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 8359,8101 is 1.

Lets's calculate LCM of 980,9488

Lowest Common Multiple of 980,9488 using Common Division

2	980, 9488
2	490, 4744
	245, 2372

∴ So the LCM of the given numbers is 2 x 2 x 245 x 2372 = 2324560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2324560

Therefore, the GCF of Fractions 8359/980,8101/9488 is 1/2324560

Least Common Multiple of 980,9488 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 980,9488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,9488) = 4

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

GCF(980,9488) x common factors =4 x 1 = 4

LCM(980,9488) = ( 980 × 9488 ) / 4

LCM(980,9488) = 9298240 / 4

LCM(980,9488) = 2324560

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FAQs on GCF of Fractions of 8359/980, 8101/9488

1. What is the HCF of 8359,8101?

The HCF of 8359,8101 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 8359/980, 8101/9488?

Answer: GCF of Numerators as per given numbers 8359/980, 8101/9488 is

GCF of Numerators i.e. for 8359,8101 is 1

LCM of denominators i.e. for 980,9488 is 2324560.

Thus, GCF of Fractions is 1/2324560.Finally, GCF of Fractions for 8359/980, 8101/9488 is 1/2324560.