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 101/601, 519/837

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 101/601, 519/837 i.e 1/503037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 101/601, 519/837.

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 101/601,519/837?

Given fractions are 101/601,519/837

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 101/601,519/837, numerators are 101,519

Denominators are 601,837

The GCF of 101,519 is 1 .

LCM of 601,837 is 503037.

The greatest common factor of 101/601,519/837 = [GCF of 101,519]/[LCM of 601,837]= 1/503037

Therefore, the GCF of 101/601,519/837 is 1/503037.

Greatest Common Factor of 101,519

To find the highest common factor of 101,519, we have to find the factors of both numbers and list the highest common factor.

The factors of 101 are 1, 101

The factors of 519 are 1, 3, 173, 519

The HCF of 101,519 is 1.

Lets's calculate GCF of 101,519

Greatest Common Factor (GCF) of 101,519 By Common Division

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

Greatest Common Factor of 101,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,519 By Matching Biggest Common Factor Method

Now, list down the factors of 101

:

1,101

Now, list down the factors of 519

:

1,3,173,519

Greatest Common Factor

We found the factors 101,519 . The biggest common factor number is the GCF number.
So the greatest common factor 101,519 is 1.

Lets's calculate LCM of 601,837

Lowest Common Multiple of 601,837 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 503037

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503037

Therefore, the GCF of Fractions 101/601,519/837 is 1/503037

Least Common Multiple of 601,837 with GCF Formula

Least Common Multiple of 601,837 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 601,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,837) = 1

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

GCF(601,837) x common factors =1 x 1 = 1

LCM(601,837) = ( 601 × 837 ) / 1

LCM(601,837) = 503037 / 1

LCM(601,837) = 503037


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 101/601, 519/837

1. What is the HCF of 101,519?

The HCF of 101,519 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 101/601, 519/837?

Answer: GCF of Numerators as per given numbers 101/601, 519/837 is

GCF of Numerators i.e. for 101,519 is 1

LCM of denominators i.e. for 601,837 is 503037.

Thus, GCF of Fractions is 1/503037.Finally, GCF of Fractions for 101/601, 519/837 is 1/503037.