Greatest Common Factor of 4994/690, 5029/3764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4994/690, 5029/3764

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 4994/690,5029/3764

Given fractions are 4994/690,5029/3764

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 4994,5029

Greatest Common Factor of Numerators i.e. GCF of 4994,5029 is 1 .

LCM of Denominators means LCM of 690,3764 as per the given fractions.

LCM of 690,3764 is 1298580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4994,5029

GCF of Fractions 4994/690,5029/3764 is 1/1298580

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

Greatest Common Factor of 4994,5029 By Matching Biggest Common Factor Method

Greatest Common Factor of 4994,5029 By Matching Biggest Common Factor Method

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Factors of 5029

List of positive integer factors of 5029 that divides 5029 without a remainder.

1,47,107,5029

Greatest Common Factor

We found the factors 4994,5029 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,5029 is 1.

Lets's calculate LCM of 690,3764

2 690, 3764
345, 1882

∴ So the LCM of the given numbers is 2 x 345 x 1882 = 1298580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1298580

Therefore, the GCF of Fractions 4994/690,5029/3764 is 1/1298580

Least Common Multiple of 690,3764 with GCF Formula

Least Common Multiple of 690,3764 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 690,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,3764) = 2

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

GCF(690,3764) x common factors =2 x 1 = 2

LCM(690,3764) = ( 690 × 3764 ) / 2

LCM(690,3764) = 2597160 / 2

LCM(690,3764) = 1298580


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 4994/690, 5029/3764

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 4994/690, 5029/3764?

Answer: GCF of Numerators as per given numbers 4994/690, 5029/3764 is

GCF of Numerators i.e. for 4994,5029 is 1

LCM of denominators i.e. for 690,3764 is 1298580.

Thus, GCF of Fractions is 1/1298580.Finally, GCF of Fractions for 4994/690, 5029/3764 is 1/1298580.