How to Find GCF of 5237/903, 7348/6635?

GCF of 5237/903, 7348/6635

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 5237/903, 7348/6635 i.e 1/5991405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5237/903, 7348/6635.

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 5237/903,7348/6635?

Given fractions are 5237/903,7348/6635

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 5237/903,7348/6635, numerators are 5237,7348

Denominators are 903,6635

The GCF of 5237,7348 is 1 .

LCM of 903,6635 is 5991405.

The greatest common factor of 5237/903,7348/6635 = [GCF of 5237,7348]/[LCM of 903,6635]= 1/5991405

Therefore, the GCF of 5237/903,7348/6635 is 1/5991405.

Greatest Common Factor of 5237,7348

To find the highest common factor of 5237,7348, we have to find the factors of both numbers and list the highest common factor.

The factors of 5237 are 1, 5237

The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348

The HCF of 5237,7348 is 1.

Lets's calculate GCF of 5237,7348

Greatest Common Factor (GCF) of 5237,7348 By Common Division

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

Greatest Common Factor of 5237,7348 By Matching Biggest Common Factor Method

Now, list down the factors of 5237

1,5237

Now, list down the factors of 7348

1,2,4,11,22,44,167,334,668,1837,3674,7348

Greatest Common Factor

We found the factors 5237,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 5237,7348 is 1.

Lets's calculate LCM of 903,6635

Lowest Common Multiple of 903,6635 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5991405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5991405

Therefore, the GCF of Fractions 5237/903,7348/6635 is 1/5991405

Least Common Multiple of 903,6635 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 903,6635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,6635) = 1

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

GCF(903,6635) x common factors =1 x 1 = 1

LCM(903,6635) = ( 903 × 6635 ) / 1

LCM(903,6635) = 5991405 / 1

LCM(903,6635) = 5991405

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5237/903, 7348/6635

1. What is the HCF of 5237,7348?

The HCF of 5237,7348 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 5237/903, 7348/6635?

Answer: GCF of Numerators as per given numbers 5237/903, 7348/6635 is

GCF of Numerators i.e. for 5237,7348 is 1

LCM of denominators i.e. for 903,6635 is 5991405.

Thus, GCF of Fractions is 1/5991405.Finally, GCF of Fractions for 5237/903, 7348/6635 is 1/5991405.