How to Find GCF of 1681/277, 5510/4131?

GCF of 1681/277, 5510/4131

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 1681/277, 5510/4131 i.e 1/1144287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1681/277, 5510/4131.

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 1681/277,5510/4131?

Given fractions are 1681/277,5510/4131

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 1681/277,5510/4131, numerators are 1681,5510

Denominators are 277,4131

The GCF of 1681,5510 is 1 .

LCM of 277,4131 is 1144287.

The greatest common factor of 1681/277,5510/4131 = [GCF of 1681,5510]/[LCM of 277,4131]= 1/1144287

Therefore, the GCF of 1681/277,5510/4131 is 1/1144287.

Greatest Common Factor of 1681,5510

To find the highest common factor of 1681,5510, we have to find the factors of both numbers and list the highest common factor.

The factors of 1681 are 1, 41, 1681

The factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

The HCF of 1681,5510 is 1.

Lets's calculate GCF of 1681,5510

Greatest Common Factor (GCF) of 1681,5510 By Common Division

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

Greatest Common Factor of 1681,5510 By Matching Biggest Common Factor Method

Now, list down the factors of 1681

1,41,1681

Now, list down the factors of 5510

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Greatest Common Factor

We found the factors 1681,5510 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,5510 is 1.

Lets's calculate LCM of 277,4131

Lowest Common Multiple of 277,4131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1144287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1144287

Therefore, the GCF of Fractions 1681/277,5510/4131 is 1/1144287

Least Common Multiple of 277,4131 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 277,4131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,4131) = 1

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

GCF(277,4131) x common factors =1 x 1 = 1

LCM(277,4131) = ( 277 × 4131 ) / 1

LCM(277,4131) = 1144287 / 1

LCM(277,4131) = 1144287

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FAQs on GCF of Fractions of 1681/277, 5510/4131

1. What is the HCF of 1681,5510?

The HCF of 1681,5510 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 1681/277, 5510/4131?

Answer: GCF of Numerators as per given numbers 1681/277, 5510/4131 is

GCF of Numerators i.e. for 1681,5510 is 1

LCM of denominators i.e. for 277,4131 is 1144287.

Thus, GCF of Fractions is 1/1144287.Finally, GCF of Fractions for 1681/277, 5510/4131 is 1/1144287.