How to Find GCF of 7502/338, 4955/5452?

GCF of 7502/338, 4955/5452

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 7502/338, 4955/5452 i.e 1/921388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7502/338, 4955/5452.

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 7502/338,4955/5452?

Given fractions are 7502/338,4955/5452

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 7502/338,4955/5452, numerators are 7502,4955

Denominators are 338,5452

The GCF of 7502,4955 is 1 .

LCM of 338,5452 is 921388.

The greatest common factor of 7502/338,4955/5452 = [GCF of 7502,4955]/[LCM of 338,5452]= 1/921388

Therefore, the GCF of 7502/338,4955/5452 is 1/921388.

Greatest Common Factor of 7502,4955

To find the highest common factor of 7502,4955, we have to find the factors of both numbers and list the highest common factor.

The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502

The factors of 4955 are 1, 5, 991, 4955

The HCF of 7502,4955 is 1.

Lets's calculate GCF of 7502,4955

Greatest Common Factor (GCF) of 7502,4955 By Common Division

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

Greatest Common Factor of 7502,4955 By Matching Biggest Common Factor Method

Now, list down the factors of 7502

1,2,11,22,31,62,121,242,341,682,3751,7502

Now, list down the factors of 4955

1,5,991,4955

Greatest Common Factor

We found the factors 7502,4955 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,4955 is 1.

Lets's calculate LCM of 338,5452

Lowest Common Multiple of 338,5452 using Common Division

2	338, 5452
	169, 2726

∴ So the LCM of the given numbers is 2 x 169 x 2726 = 921388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921388

Therefore, the GCF of Fractions 7502/338,4955/5452 is 1/921388

Least Common Multiple of 338,5452 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 338,5452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,5452) = 2

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

GCF(338,5452) x common factors =2 x 1 = 2

LCM(338,5452) = ( 338 × 5452 ) / 2

LCM(338,5452) = 1842776 / 2

LCM(338,5452) = 921388

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7502/338, 4955/5452

1. What is the HCF of 7502,4955?

The HCF of 7502,4955 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 7502/338, 4955/5452?

Answer: GCF of Numerators as per given numbers 7502/338, 4955/5452 is

GCF of Numerators i.e. for 7502,4955 is 1

LCM of denominators i.e. for 338,5452 is 921388.

Thus, GCF of Fractions is 1/921388.Finally, GCF of Fractions for 7502/338, 4955/5452 is 1/921388.