How to Find GCF of 495/938, 9151/365?

GCF of 495/938, 9151/365

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 495/938, 9151/365 i.e 1/342370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/938, 9151/365.

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 495/938,9151/365?

Given fractions are 495/938,9151/365

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 495/938,9151/365, numerators are 495,9151

Denominators are 938,365

The GCF of 495,9151 is 1 .

LCM of 938,365 is 342370.

The greatest common factor of 495/938,9151/365 = [GCF of 495,9151]/[LCM of 938,365]= 1/342370

Therefore, the GCF of 495/938,9151/365 is 1/342370.

Greatest Common Factor of 495,9151

To find the highest common factor of 495,9151, we have to find the factors of both numbers and list the highest common factor.

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

The factors of 9151 are 1, 9151

The HCF of 495,9151 is 1.

Lets's calculate GCF of 495,9151

Greatest Common Factor (GCF) of 495,9151 By Common Division

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

Greatest Common Factor of 495,9151 By Matching Biggest Common Factor Method

Now, list down the factors of 495

1,3,5,9,11,15,33,45,55,99,165,495

Now, list down the factors of 9151

1,9151

Greatest Common Factor

We found the factors 495,9151 . The biggest common factor number is the GCF number.
So the greatest common factor 495,9151 is 1.

Lets's calculate LCM of 938,365

Lowest Common Multiple of 938,365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 342370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342370

Therefore, the GCF of Fractions 495/938,9151/365 is 1/342370

Least Common Multiple of 938,365 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 938,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,365) = 1

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

GCF(938,365) x common factors =1 x 1 = 1

LCM(938,365) = ( 938 × 365 ) / 1

LCM(938,365) = 342370 / 1

LCM(938,365) = 342370

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FAQs on GCF of Fractions of 495/938, 9151/365

1. What is the HCF of 495,9151?

The HCF of 495,9151 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 495/938, 9151/365?

Answer: GCF of Numerators as per given numbers 495/938, 9151/365 is

GCF of Numerators i.e. for 495,9151 is 1

LCM of denominators i.e. for 938,365 is 342370.

Thus, GCF of Fractions is 1/342370.Finally, GCF of Fractions for 495/938, 9151/365 is 1/342370.