LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 153/41, 491/552

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 153/41, 491/552 i.e 1/22632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/41, 491/552.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 153/41,491/552?

Given fractions are 153/41,491/552

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 153/41,491/552, numerators are 153,491

Denominators are 41,552

The GCF of 153,491 is 1 .

LCM of 41,552 is 22632.

The greatest common factor of 153/41,491/552 = [GCF of 153,491]/[LCM of 41,552]= 1/22632

Therefore, the GCF of 153/41,491/552 is 1/22632.

Greatest Common Factor of 153,491

To find the highest common factor of 153,491, we have to find the factors of both numbers and list the highest common factor.

The factors of 153 are 1, 3, 9, 17, 51, 153

The factors of 491 are 1, 491

The HCF of 153,491 is 1.

Lets's calculate GCF of 153,491

Greatest Common Factor (GCF) of 153,491 By Common Division

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

Greatest Common Factor of 153,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,491 By Matching Biggest Common Factor Method

Now, list down the factors of 153

:

1,3,9,17,51,153

Now, list down the factors of 491

:

1,491

Greatest Common Factor

We found the factors 153,491 . The biggest common factor number is the GCF number.
So the greatest common factor 153,491 is 1.

Lets's calculate LCM of 41,552

Lowest Common Multiple of 41,552 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22632

Therefore, the GCF of Fractions 153/41,491/552 is 1/22632

Least Common Multiple of 41,552 with GCF Formula

Least Common Multiple of 41,552 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 41,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,552) = 1

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

GCF(41,552) x common factors =1 x 1 = 1

LCM(41,552) = ( 41 × 552 ) / 1

LCM(41,552) = 22632 / 1

LCM(41,552) = 22632


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 153/41, 491/552

1. What is the HCF of 153,491?

The HCF of 153,491 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 153/41, 491/552?

Answer: GCF of Numerators as per given numbers 153/41, 491/552 is

GCF of Numerators i.e. for 153,491 is 1

LCM of denominators i.e. for 41,552 is 22632.

Thus, GCF of Fractions is 1/22632.Finally, GCF of Fractions for 153/41, 491/552 is 1/22632.