How to Find GCF of 8773/973, 6631/8098?

GCF of 8773/973, 6631/8098

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 8773/973, 6631/8098 i.e 1/7879354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8773/973, 6631/8098.

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 8773/973,6631/8098?

Given fractions are 8773/973,6631/8098

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 8773/973,6631/8098, numerators are 8773,6631

Denominators are 973,8098

The GCF of 8773,6631 is 1 .

LCM of 973,8098 is 7879354.

The greatest common factor of 8773/973,6631/8098 = [GCF of 8773,6631]/[LCM of 973,8098]= 1/7879354

Therefore, the GCF of 8773/973,6631/8098 is 1/7879354.

Greatest Common Factor of 8773,6631

To find the highest common factor of 8773,6631, we have to find the factors of both numbers and list the highest common factor.

The factors of 8773 are 1, 31, 283, 8773

The factors of 6631 are 1, 19, 349, 6631

The HCF of 8773,6631 is 1.

Lets's calculate GCF of 8773,6631

Greatest Common Factor (GCF) of 8773,6631 By Common Division

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

Greatest Common Factor of 8773,6631 By Matching Biggest Common Factor Method

Now, list down the factors of 8773

1,31,283,8773

Now, list down the factors of 6631

1,19,349,6631

Greatest Common Factor

We found the factors 8773,6631 . The biggest common factor number is the GCF number.
So the greatest common factor 8773,6631 is 1.

Lets's calculate LCM of 973,8098

Lowest Common Multiple of 973,8098 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7879354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7879354

Therefore, the GCF of Fractions 8773/973,6631/8098 is 1/7879354

Least Common Multiple of 973,8098 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 973,8098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,8098) = 1

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

GCF(973,8098) x common factors =1 x 1 = 1

LCM(973,8098) = ( 973 × 8098 ) / 1

LCM(973,8098) = 7879354 / 1

LCM(973,8098) = 7879354

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FAQs on GCF of Fractions of 8773/973, 6631/8098

1. What is the HCF of 8773,6631?

The HCF of 8773,6631 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 8773/973, 6631/8098?

Answer: GCF of Numerators as per given numbers 8773/973, 6631/8098 is

GCF of Numerators i.e. for 8773,6631 is 1

LCM of denominators i.e. for 973,8098 is 7879354.

Thus, GCF of Fractions is 1/7879354.Finally, GCF of Fractions for 8773/973, 6631/8098 is 1/7879354.