Greatest Common Factor of 4830/670, 7759/2550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4830/670, 7759/2550

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 4830/670,7759/2550

Given fractions are 4830/670,7759/2550

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4830,7759

Greatest Common Factor of Numerators i.e. GCF of 4830,7759 is 1 .

LCM of Denominators means LCM of 670,2550 as per the given fractions.

LCM of 670,2550 is 170850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4830,7759

GCF of Fractions 4830/670,7759/2550 is 1/170850

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

Greatest Common Factor of 4830,7759 By Matching Biggest Common Factor Method

Greatest Common Factor of 4830,7759 By Matching Biggest Common Factor Method

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Factors of 7759

List of positive integer factors of 7759 that divides 7759 without a remainder.

1,7759

Greatest Common Factor

We found the factors 4830,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 4830,7759 is 1.

Lets's calculate LCM of 670,2550

2 670, 2550
5 335, 1275
67, 255

∴ So the LCM of the given numbers is 2 x 5 x 67 x 255 = 170850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170850

Therefore, the GCF of Fractions 4830/670,7759/2550 is 1/170850

Least Common Multiple of 670,2550 with GCF Formula

Least Common Multiple of 670,2550 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 670,2550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,2550) = 10

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

GCF(670,2550) x common factors =10 x 1 = 10

LCM(670,2550) = ( 670 × 2550 ) / 10

LCM(670,2550) = 1708500 / 10

LCM(670,2550) = 170850


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4830/670, 7759/2550

1. 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.

2. What is the GCF of Fractions for 4830/670, 7759/2550?

Answer: GCF of Numerators as per given numbers 4830/670, 7759/2550 is

GCF of Numerators i.e. for 4830,7759 is 1

LCM of denominators i.e. for 670,2550 is 170850.

Thus, GCF of Fractions is 1/170850.Finally, GCF of Fractions for 4830/670, 7759/2550 is 1/170850.