How to Find GCF of 3921/842, 5377/8581?

GCF of 3921/842, 5377/8581

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 3921/842, 5377/8581 i.e 1/7225202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3921/842, 5377/8581.

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 3921/842,5377/8581?

Given fractions are 3921/842,5377/8581

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 3921/842,5377/8581, numerators are 3921,5377

Denominators are 842,8581

The GCF of 3921,5377 is 1 .

LCM of 842,8581 is 7225202.

The greatest common factor of 3921/842,5377/8581 = [GCF of 3921,5377]/[LCM of 842,8581]= 1/7225202

Therefore, the GCF of 3921/842,5377/8581 is 1/7225202.

Greatest Common Factor of 3921,5377

To find the highest common factor of 3921,5377, we have to find the factors of both numbers and list the highest common factor.

The factors of 3921 are 1, 3, 1307, 3921

The factors of 5377 are 1, 19, 283, 5377

The HCF of 3921,5377 is 1.

Lets's calculate GCF of 3921,5377

Greatest Common Factor (GCF) of 3921,5377 By Common Division

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

Greatest Common Factor of 3921,5377 By Matching Biggest Common Factor Method

Now, list down the factors of 3921

1,3,1307,3921

Now, list down the factors of 5377

1,19,283,5377

Greatest Common Factor

We found the factors 3921,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,5377 is 1.

Lets's calculate LCM of 842,8581

Lowest Common Multiple of 842,8581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7225202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7225202

Therefore, the GCF of Fractions 3921/842,5377/8581 is 1/7225202

Least Common Multiple of 842,8581 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 842,8581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,8581) = 1

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

GCF(842,8581) x common factors =1 x 1 = 1

LCM(842,8581) = ( 842 × 8581 ) / 1

LCM(842,8581) = 7225202 / 1

LCM(842,8581) = 7225202

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FAQs on GCF of Fractions of 3921/842, 5377/8581

1. What is the HCF of 3921,5377?

The HCF of 3921,5377 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 3921/842, 5377/8581?

Answer: GCF of Numerators as per given numbers 3921/842, 5377/8581 is

GCF of Numerators i.e. for 3921,5377 is 1

LCM of denominators i.e. for 842,8581 is 7225202.

Thus, GCF of Fractions is 1/7225202.Finally, GCF of Fractions for 3921/842, 5377/8581 is 1/7225202.