How to Find GCF of 2915/653, 6066/6454?

GCF of 2915/653, 6066/6454

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 2915/653, 6066/6454 i.e 1/4214462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2915/653, 6066/6454.

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 2915/653,6066/6454?

Given fractions are 2915/653,6066/6454

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 2915/653,6066/6454, numerators are 2915,6066

Denominators are 653,6454

The GCF of 2915,6066 is 1 .

LCM of 653,6454 is 4214462.

The greatest common factor of 2915/653,6066/6454 = [GCF of 2915,6066]/[LCM of 653,6454]= 1/4214462

Therefore, the GCF of 2915/653,6066/6454 is 1/4214462.

Greatest Common Factor of 2915,6066

To find the highest common factor of 2915,6066, we have to find the factors of both numbers and list the highest common factor.

The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915

The factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

The HCF of 2915,6066 is 1.

Lets's calculate GCF of 2915,6066

Greatest Common Factor (GCF) of 2915,6066 By Common Division

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

Greatest Common Factor of 2915,6066 By Matching Biggest Common Factor Method

Now, list down the factors of 2915

1,5,11,53,55,265,583,2915

Now, list down the factors of 6066

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Greatest Common Factor

We found the factors 2915,6066 . The biggest common factor number is the GCF number.
So the greatest common factor 2915,6066 is 1.

Lets's calculate LCM of 653,6454

Lowest Common Multiple of 653,6454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4214462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4214462

Therefore, the GCF of Fractions 2915/653,6066/6454 is 1/4214462

Least Common Multiple of 653,6454 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 653,6454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,6454) = 1

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

GCF(653,6454) x common factors =1 x 1 = 1

LCM(653,6454) = ( 653 × 6454 ) / 1

LCM(653,6454) = 4214462 / 1

LCM(653,6454) = 4214462

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FAQs on GCF of Fractions of 2915/653, 6066/6454

1. What is the HCF of 2915,6066?

The HCF of 2915,6066 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 2915/653, 6066/6454?

Answer: GCF of Numerators as per given numbers 2915/653, 6066/6454 is

GCF of Numerators i.e. for 2915,6066 is 1

LCM of denominators i.e. for 653,6454 is 4214462.

Thus, GCF of Fractions is 1/4214462.Finally, GCF of Fractions for 2915/653, 6066/6454 is 1/4214462.