How to Find GCF of 5551/997, 5918/1462?

GCF of 5551/997, 5918/1462

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 5551/997, 5918/1462 i.e 1/1457614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5551/997, 5918/1462.

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 5551/997,5918/1462?

Given fractions are 5551/997,5918/1462

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 5551/997,5918/1462, numerators are 5551,5918

Denominators are 997,1462

The GCF of 5551,5918 is 1 .

LCM of 997,1462 is 1457614.

The greatest common factor of 5551/997,5918/1462 = [GCF of 5551,5918]/[LCM of 997,1462]= 1/1457614

Therefore, the GCF of 5551/997,5918/1462 is 1/1457614.

Greatest Common Factor of 5551,5918

To find the highest common factor of 5551,5918, we have to find the factors of both numbers and list the highest common factor.

The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551

The factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918

The HCF of 5551,5918 is 1.

Lets's calculate GCF of 5551,5918

Greatest Common Factor (GCF) of 5551,5918 By Common Division

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

Greatest Common Factor of 5551,5918 By Matching Biggest Common Factor Method

Now, list down the factors of 5551

1,7,13,61,91,427,793,5551

Now, list down the factors of 5918

1,2,11,22,269,538,2959,5918

Greatest Common Factor

We found the factors 5551,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 5551,5918 is 1.

Lets's calculate LCM of 997,1462

Lowest Common Multiple of 997,1462 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1457614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1457614

Therefore, the GCF of Fractions 5551/997,5918/1462 is 1/1457614

Least Common Multiple of 997,1462 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 997,1462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,1462) = 1

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

GCF(997,1462) x common factors =1 x 1 = 1

LCM(997,1462) = ( 997 × 1462 ) / 1

LCM(997,1462) = 1457614 / 1

LCM(997,1462) = 1457614

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FAQs on GCF of Fractions of 5551/997, 5918/1462

1. What is the HCF of 5551,5918?

The HCF of 5551,5918 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 5551/997, 5918/1462?

Answer: GCF of Numerators as per given numbers 5551/997, 5918/1462 is

GCF of Numerators i.e. for 5551,5918 is 1

LCM of denominators i.e. for 997,1462 is 1457614.

Thus, GCF of Fractions is 1/1457614.Finally, GCF of Fractions for 5551/997, 5918/1462 is 1/1457614.