Greatest Common Factor of 4882/13, 1928/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4882/13, 1928/701

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 4882/13,1928/701

Given fractions are 4882/13,1928/701

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 4882,1928

Greatest Common Factor of Numerators i.e. GCF of 4882,1928 is 2 .

LCM of Denominators means LCM of 13,701 as per the given fractions.

LCM of 13,701 is 9113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4882,1928

GCF of Fractions 4882/13,1928/701 is 2/9113

2 4882, 1928
2441, 964

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4882,1928 By Matching Biggest Common Factor Method

Greatest Common Factor of 4882,1928 By Matching Biggest Common Factor Method

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1,2,2441,4882

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1,2,4,8,241,482,964,1928

Greatest Common Factor

We found the factors 4882,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 4882,1928 is 2.

Lets's calculate LCM of 13,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 9113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9113

Therefore, the GCF of Fractions 4882/13,1928/701 is 2/9113

Least Common Multiple of 13,701 with GCF Formula

Least Common Multiple of 13,701 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 13,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,701) = 1

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

GCF(13,701) x common factors =1 x 1 = 1

LCM(13,701) = ( 13 × 701 ) / 1

LCM(13,701) = 9113 / 1

LCM(13,701) = 9113


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 4882/13, 1928/701

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 4882/13, 1928/701?

Answer: GCF of Numerators as per given numbers 4882/13, 1928/701 is

GCF of Numerators i.e. for 4882,1928 is 2

LCM of denominators i.e. for 13,701 is 9113.

Thus, GCF of Fractions is 2/9113.Finally, GCF of Fractions for 4882/13, 1928/701 is 2/9113.