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 879/390, 7691/8034

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 879/390, 7691/8034 i.e 1/40170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/390, 7691/8034.

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 879/390,7691/8034?

Given fractions are 879/390,7691/8034

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 879/390,7691/8034, numerators are 879,7691

Denominators are 390,8034

The GCF of 879,7691 is 1 .

LCM of 390,8034 is 40170.

The greatest common factor of 879/390,7691/8034 = [GCF of 879,7691]/[LCM of 390,8034]= 1/40170

Therefore, the GCF of 879/390,7691/8034 is 1/40170.

Greatest Common Factor of 879,7691

To find the highest common factor of 879,7691, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 7691 are 1, 7691

The HCF of 879,7691 is 1.

Lets's calculate GCF of 879,7691

Greatest Common Factor (GCF) of 879,7691 By Common Division

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

Greatest Common Factor of 879,7691 By Matching Biggest Common Factor Method

Greatest Common Factor of 879,7691 By Matching Biggest Common Factor Method

Now, list down the factors of 879

:

1,3,293,879

Now, list down the factors of 7691

:

1,7691

Greatest Common Factor

We found the factors 879,7691 . The biggest common factor number is the GCF number.
So the greatest common factor 879,7691 is 1.

Lets's calculate LCM of 390,8034

Lowest Common Multiple of 390,8034 using Common Division

2 390, 8034
3 195, 4017
13 65, 1339
5, 103

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 103 = 40170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40170

Therefore, the GCF of Fractions 879/390,7691/8034 is 1/40170

Least Common Multiple of 390,8034 with GCF Formula

Least Common Multiple of 390,8034 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 390,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,8034) = 78

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

GCF(390,8034) x common factors =78 x 1 = 78

LCM(390,8034) = ( 390 × 8034 ) / 78

LCM(390,8034) = 3133260 / 78

LCM(390,8034) = 40170


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 879/390, 7691/8034

1. What is the HCF of 879,7691?

The HCF of 879,7691 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 879/390, 7691/8034?

Answer: GCF of Numerators as per given numbers 879/390, 7691/8034 is

GCF of Numerators i.e. for 879,7691 is 1

LCM of denominators i.e. for 390,8034 is 40170.

Thus, GCF of Fractions is 1/40170.Finally, GCF of Fractions for 879/390, 7691/8034 is 1/40170.