How to Find GCF of 2767/510, 7965/8906?

GCF of 2767/510, 7965/8906

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 2767/510, 7965/8906 i.e 1/2271030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2767/510, 7965/8906.

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 2767/510,7965/8906?

Given fractions are 2767/510,7965/8906

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 2767/510,7965/8906, numerators are 2767,7965

Denominators are 510,8906

The GCF of 2767,7965 is 1 .

LCM of 510,8906 is 2271030.

The greatest common factor of 2767/510,7965/8906 = [GCF of 2767,7965]/[LCM of 510,8906]= 1/2271030

Therefore, the GCF of 2767/510,7965/8906 is 1/2271030.

Greatest Common Factor of 2767,7965

To find the highest common factor of 2767,7965, we have to find the factors of both numbers and list the highest common factor.

The factors of 2767 are 1, 2767

The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965

The HCF of 2767,7965 is 1.

Lets's calculate GCF of 2767,7965

Greatest Common Factor (GCF) of 2767,7965 By Common Division

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

Greatest Common Factor of 2767,7965 By Matching Biggest Common Factor Method

Now, list down the factors of 2767

1,2767

Now, list down the factors of 7965

1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965

Greatest Common Factor

We found the factors 2767,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 2767,7965 is 1.

Lets's calculate LCM of 510,8906

Lowest Common Multiple of 510,8906 using Common Division

2	510, 8906
	255, 4453

∴ So the LCM of the given numbers is 2 x 255 x 4453 = 2271030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2271030

Therefore, the GCF of Fractions 2767/510,7965/8906 is 1/2271030

Least Common Multiple of 510,8906 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 510,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,8906) = 2

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

GCF(510,8906) x common factors =2 x 1 = 2

LCM(510,8906) = ( 510 × 8906 ) / 2

LCM(510,8906) = 4542060 / 2

LCM(510,8906) = 2271030

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2767/510, 7965/8906

1. What is the HCF of 2767,7965?

The HCF of 2767,7965 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 2767/510, 7965/8906?

Answer: GCF of Numerators as per given numbers 2767/510, 7965/8906 is

GCF of Numerators i.e. for 2767,7965 is 1

LCM of denominators i.e. for 510,8906 is 2271030.

Thus, GCF of Fractions is 1/2271030.Finally, GCF of Fractions for 2767/510, 7965/8906 is 1/2271030.