How to Find GCF of 4374/325, 9781/2977?

GCF of 4374/325, 9781/2977

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 4374/325, 9781/2977 i.e 1/74425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4374/325, 9781/2977.

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 4374/325,9781/2977?

Given fractions are 4374/325,9781/2977

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 4374/325,9781/2977, numerators are 4374,9781

Denominators are 325,2977

The GCF of 4374,9781 is 1 .

LCM of 325,2977 is 74425.

The greatest common factor of 4374/325,9781/2977 = [GCF of 4374,9781]/[LCM of 325,2977]= 1/74425

Therefore, the GCF of 4374/325,9781/2977 is 1/74425.

Greatest Common Factor of 4374,9781

To find the highest common factor of 4374,9781, we have to find the factors of both numbers and list the highest common factor.

The factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

The factors of 9781 are 1, 9781

The HCF of 4374,9781 is 1.

Lets's calculate GCF of 4374,9781

Greatest Common Factor (GCF) of 4374,9781 By Common Division

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

Greatest Common Factor of 4374,9781 By Matching Biggest Common Factor Method

Now, list down the factors of 4374

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Now, list down the factors of 9781

1,9781

Greatest Common Factor

We found the factors 4374,9781 . The biggest common factor number is the GCF number.
So the greatest common factor 4374,9781 is 1.

Lets's calculate LCM of 325,2977

Lowest Common Multiple of 325,2977 using Common Division

13	325, 2977
	25, 229

∴ So the LCM of the given numbers is 13 x 25 x 229 = 74425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74425

Therefore, the GCF of Fractions 4374/325,9781/2977 is 1/74425

Least Common Multiple of 325,2977 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 325,2977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,2977) = 13

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

GCF(325,2977) x common factors =13 x 1 = 13

LCM(325,2977) = ( 325 × 2977 ) / 13

LCM(325,2977) = 967525 / 13

LCM(325,2977) = 74425

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FAQs on GCF of Fractions of 4374/325, 9781/2977

1. What is the HCF of 4374,9781?

The HCF of 4374,9781 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 4374/325, 9781/2977?

Answer: GCF of Numerators as per given numbers 4374/325, 9781/2977 is

GCF of Numerators i.e. for 4374,9781 is 1

LCM of denominators i.e. for 325,2977 is 74425.

Thus, GCF of Fractions is 1/74425.Finally, GCF of Fractions for 4374/325, 9781/2977 is 1/74425.