How to Find GCF of 3655/257, 2621/3253?

GCF of 3655/257, 2621/3253

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 3655/257, 2621/3253 i.e 1/836021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3655/257, 2621/3253.

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 3655/257,2621/3253?

Given fractions are 3655/257,2621/3253

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 3655/257,2621/3253, numerators are 3655,2621

Denominators are 257,3253

The GCF of 3655,2621 is 1 .

LCM of 257,3253 is 836021.

The greatest common factor of 3655/257,2621/3253 = [GCF of 3655,2621]/[LCM of 257,3253]= 1/836021

Therefore, the GCF of 3655/257,2621/3253 is 1/836021.

Greatest Common Factor of 3655,2621

To find the highest common factor of 3655,2621, we have to find the factors of both numbers and list the highest common factor.

The factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655

The factors of 2621 are 1, 2621

The HCF of 3655,2621 is 1.

Lets's calculate GCF of 3655,2621

Greatest Common Factor (GCF) of 3655,2621 By Common Division

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

Greatest Common Factor of 3655,2621 By Matching Biggest Common Factor Method

Now, list down the factors of 3655

1,5,17,43,85,215,731,3655

Now, list down the factors of 2621

1,2621

Greatest Common Factor

We found the factors 3655,2621 . The biggest common factor number is the GCF number.
So the greatest common factor 3655,2621 is 1.

Lets's calculate LCM of 257,3253

Lowest Common Multiple of 257,3253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 836021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836021

Therefore, the GCF of Fractions 3655/257,2621/3253 is 1/836021

Least Common Multiple of 257,3253 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 257,3253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,3253) = 1

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

GCF(257,3253) x common factors =1 x 1 = 1

LCM(257,3253) = ( 257 × 3253 ) / 1

LCM(257,3253) = 836021 / 1

LCM(257,3253) = 836021

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FAQs on GCF of Fractions of 3655/257, 2621/3253

1. What is the HCF of 3655,2621?

The HCF of 3655,2621 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 3655/257, 2621/3253?

Answer: GCF of Numerators as per given numbers 3655/257, 2621/3253 is

GCF of Numerators i.e. for 3655,2621 is 1

LCM of denominators i.e. for 257,3253 is 836021.

Thus, GCF of Fractions is 1/836021.Finally, GCF of Fractions for 3655/257, 2621/3253 is 1/836021.