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 959/45, 839/6728

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 959/45, 839/6728 i.e 1/302760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/45, 839/6728.

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 959/45,839/6728?

Given fractions are 959/45,839/6728

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 959/45,839/6728, numerators are 959,839

Denominators are 45,6728

The GCF of 959,839 is 1 .

LCM of 45,6728 is 302760.

The greatest common factor of 959/45,839/6728 = [GCF of 959,839]/[LCM of 45,6728]= 1/302760

Therefore, the GCF of 959/45,839/6728 is 1/302760.

Greatest Common Factor of 959,839

To find the highest common factor of 959,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 959 are 1, 7, 137, 959

The factors of 839 are 1, 839

The HCF of 959,839 is 1.

Lets's calculate GCF of 959,839

Greatest Common Factor (GCF) of 959,839 By Common Division

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

Greatest Common Factor of 959,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,839 By Matching Biggest Common Factor Method

Now, list down the factors of 959

:

1,7,137,959

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 959,839 . The biggest common factor number is the GCF number.
So the greatest common factor 959,839 is 1.

Lets's calculate LCM of 45,6728

Lowest Common Multiple of 45,6728 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 302760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302760

Therefore, the GCF of Fractions 959/45,839/6728 is 1/302760

Least Common Multiple of 45,6728 with GCF Formula

Least Common Multiple of 45,6728 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 45,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6728) = 1

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

GCF(45,6728) x common factors =1 x 1 = 1

LCM(45,6728) = ( 45 × 6728 ) / 1

LCM(45,6728) = 302760 / 1

LCM(45,6728) = 302760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 959/45, 839/6728

1. What is the HCF of 959,839?

The HCF of 959,839 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 959/45, 839/6728?

Answer: GCF of Numerators as per given numbers 959/45, 839/6728 is

GCF of Numerators i.e. for 959,839 is 1

LCM of denominators i.e. for 45,6728 is 302760.

Thus, GCF of Fractions is 1/302760.Finally, GCF of Fractions for 959/45, 839/6728 is 1/302760.