How to Find GCF of 2465/661, 3011/6430?

GCF of 2465/661, 3011/6430

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 2465/661, 3011/6430 i.e 1/4250230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2465/661, 3011/6430.

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 2465/661,3011/6430?

Given fractions are 2465/661,3011/6430

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 2465/661,3011/6430, numerators are 2465,3011

Denominators are 661,6430

The GCF of 2465,3011 is 1 .

LCM of 661,6430 is 4250230.

The greatest common factor of 2465/661,3011/6430 = [GCF of 2465,3011]/[LCM of 661,6430]= 1/4250230

Therefore, the GCF of 2465/661,3011/6430 is 1/4250230.

Greatest Common Factor of 2465,3011

To find the highest common factor of 2465,3011, we have to find the factors of both numbers and list the highest common factor.

The factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465

The factors of 3011 are 1, 3011

The HCF of 2465,3011 is 1.

Lets's calculate GCF of 2465,3011

Greatest Common Factor (GCF) of 2465,3011 By Common Division

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

Greatest Common Factor of 2465,3011 By Matching Biggest Common Factor Method

Now, list down the factors of 2465

1,5,17,29,85,145,493,2465

Now, list down the factors of 3011

1,3011

Greatest Common Factor

We found the factors 2465,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 2465,3011 is 1.

Lets's calculate LCM of 661,6430

Lowest Common Multiple of 661,6430 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4250230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4250230

Therefore, the GCF of Fractions 2465/661,3011/6430 is 1/4250230

Least Common Multiple of 661,6430 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 661,6430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,6430) = 1

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

GCF(661,6430) x common factors =1 x 1 = 1

LCM(661,6430) = ( 661 × 6430 ) / 1

LCM(661,6430) = 4250230 / 1

LCM(661,6430) = 4250230

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FAQs on GCF of Fractions of 2465/661, 3011/6430

1. What is the HCF of 2465,3011?

The HCF of 2465,3011 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 2465/661, 3011/6430?

Answer: GCF of Numerators as per given numbers 2465/661, 3011/6430 is

GCF of Numerators i.e. for 2465,3011 is 1

LCM of denominators i.e. for 661,6430 is 4250230.

Thus, GCF of Fractions is 1/4250230.Finally, GCF of Fractions for 2465/661, 3011/6430 is 1/4250230.