How to Find GCF of 2775/137, 3551/281?

GCF of 2775/137, 3551/281

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 2775/137, 3551/281 i.e 1/38497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2775/137, 3551/281.

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 2775/137,3551/281?

Given fractions are 2775/137,3551/281

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 2775/137,3551/281, numerators are 2775,3551

Denominators are 137,281

The GCF of 2775,3551 is 1 .

LCM of 137,281 is 38497.

The greatest common factor of 2775/137,3551/281 = [GCF of 2775,3551]/[LCM of 137,281]= 1/38497

Therefore, the GCF of 2775/137,3551/281 is 1/38497.

Greatest Common Factor of 2775,3551

To find the highest common factor of 2775,3551, we have to find the factors of both numbers and list the highest common factor.

The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775

The factors of 3551 are 1, 53, 67, 3551

The HCF of 2775,3551 is 1.

Lets's calculate GCF of 2775,3551

Greatest Common Factor (GCF) of 2775,3551 By Common Division

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

Greatest Common Factor of 2775,3551 By Matching Biggest Common Factor Method

Now, list down the factors of 2775

1,3,5,15,25,37,75,111,185,555,925,2775

Now, list down the factors of 3551

1,53,67,3551

Greatest Common Factor

We found the factors 2775,3551 . The biggest common factor number is the GCF number.
So the greatest common factor 2775,3551 is 1.

Lets's calculate LCM of 137,281

Lowest Common Multiple of 137,281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38497

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38497

Therefore, the GCF of Fractions 2775/137,3551/281 is 1/38497

Least Common Multiple of 137,281 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 137,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,281) = 1

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

GCF(137,281) x common factors =1 x 1 = 1

LCM(137,281) = ( 137 × 281 ) / 1

LCM(137,281) = 38497 / 1

LCM(137,281) = 38497

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FAQs on GCF of Fractions of 2775/137, 3551/281

1. What is the HCF of 2775,3551?

The HCF of 2775,3551 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 2775/137, 3551/281?

Answer: GCF of Numerators as per given numbers 2775/137, 3551/281 is

GCF of Numerators i.e. for 2775,3551 is 1

LCM of denominators i.e. for 137,281 is 38497.

Thus, GCF of Fractions is 1/38497.Finally, GCF of Fractions for 2775/137, 3551/281 is 1/38497.