How to Find GCF of 4481/277, 2068/7257?

GCF of 4481/277, 2068/7257

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 4481/277, 2068/7257 i.e 1/2010189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4481/277, 2068/7257.

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 4481/277,2068/7257?

Given fractions are 4481/277,2068/7257

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 4481/277,2068/7257, numerators are 4481,2068

Denominators are 277,7257

The GCF of 4481,2068 is 1 .

LCM of 277,7257 is 2010189.

The greatest common factor of 4481/277,2068/7257 = [GCF of 4481,2068]/[LCM of 277,7257]= 1/2010189

Therefore, the GCF of 4481/277,2068/7257 is 1/2010189.

Greatest Common Factor of 4481,2068

To find the highest common factor of 4481,2068, we have to find the factors of both numbers and list the highest common factor.

The factors of 4481 are 1, 4481

The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

The HCF of 4481,2068 is 1.

Lets's calculate GCF of 4481,2068

Greatest Common Factor (GCF) of 4481,2068 By Common Division

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

Greatest Common Factor of 4481,2068 By Matching Biggest Common Factor Method

Now, list down the factors of 4481

1,4481

Now, list down the factors of 2068

1,2,4,11,22,44,47,94,188,517,1034,2068

Greatest Common Factor

We found the factors 4481,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 4481,2068 is 1.

Lets's calculate LCM of 277,7257

Lowest Common Multiple of 277,7257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2010189

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2010189

Therefore, the GCF of Fractions 4481/277,2068/7257 is 1/2010189

Least Common Multiple of 277,7257 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 277,7257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,7257) = 1

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

GCF(277,7257) x common factors =1 x 1 = 1

LCM(277,7257) = ( 277 × 7257 ) / 1

LCM(277,7257) = 2010189 / 1

LCM(277,7257) = 2010189

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FAQs on GCF of Fractions of 4481/277, 2068/7257

1. What is the HCF of 4481,2068?

The HCF of 4481,2068 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 4481/277, 2068/7257?

Answer: GCF of Numerators as per given numbers 4481/277, 2068/7257 is

GCF of Numerators i.e. for 4481,2068 is 1

LCM of denominators i.e. for 277,7257 is 2010189.

Thus, GCF of Fractions is 1/2010189.Finally, GCF of Fractions for 4481/277, 2068/7257 is 1/2010189.