How to Find GCF of 2667/275, 1775/6563?

GCF of 2667/275, 1775/6563

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 2667/275, 1775/6563 i.e 1/1804825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2667/275, 1775/6563.

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 2667/275,1775/6563?

Given fractions are 2667/275,1775/6563

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 2667/275,1775/6563, numerators are 2667,1775

Denominators are 275,6563

The GCF of 2667,1775 is 1 .

LCM of 275,6563 is 1804825.

The greatest common factor of 2667/275,1775/6563 = [GCF of 2667,1775]/[LCM of 275,6563]= 1/1804825

Therefore, the GCF of 2667/275,1775/6563 is 1/1804825.

Greatest Common Factor of 2667,1775

To find the highest common factor of 2667,1775, we have to find the factors of both numbers and list the highest common factor.

The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667

The factors of 1775 are 1, 5, 25, 71, 355, 1775

The HCF of 2667,1775 is 1.

Lets's calculate GCF of 2667,1775

Greatest Common Factor (GCF) of 2667,1775 By Common Division

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

Greatest Common Factor of 2667,1775 By Matching Biggest Common Factor Method

Now, list down the factors of 2667

1,3,7,21,127,381,889,2667

Now, list down the factors of 1775

1,5,25,71,355,1775

Greatest Common Factor

We found the factors 2667,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,1775 is 1.

Lets's calculate LCM of 275,6563

Lowest Common Multiple of 275,6563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1804825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1804825

Therefore, the GCF of Fractions 2667/275,1775/6563 is 1/1804825

Least Common Multiple of 275,6563 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 275,6563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,6563) = 1

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

GCF(275,6563) x common factors =1 x 1 = 1

LCM(275,6563) = ( 275 × 6563 ) / 1

LCM(275,6563) = 1804825 / 1

LCM(275,6563) = 1804825

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FAQs on GCF of Fractions of 2667/275, 1775/6563

1. What is the HCF of 2667,1775?

The HCF of 2667,1775 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 2667/275, 1775/6563?

Answer: GCF of Numerators as per given numbers 2667/275, 1775/6563 is

GCF of Numerators i.e. for 2667,1775 is 1

LCM of denominators i.e. for 275,6563 is 1804825.

Thus, GCF of Fractions is 1/1804825.Finally, GCF of Fractions for 2667/275, 1775/6563 is 1/1804825.