Greatest Common Factor of 4164/364, 6130/1799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4164/364, 6130/1799

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 4164/364,6130/1799

Given fractions are 4164/364,6130/1799

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 4164,6130

Greatest Common Factor of Numerators i.e. GCF of 4164,6130 is 2 .

LCM of Denominators means LCM of 364,1799 as per the given fractions.

LCM of 364,1799 is 93548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4164,6130

GCF of Fractions 4164/364,6130/1799 is 2/93548

2 4164, 6130
2082, 3065

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

Greatest Common Factor of 4164,6130 By Matching Biggest Common Factor Method

Greatest Common Factor of 4164,6130 By Matching Biggest Common Factor Method

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Factors of 6130

List of positive integer factors of 6130 that divides 6130 without a remainder.

1,2,5,10,613,1226,3065,6130

Greatest Common Factor

We found the factors 4164,6130 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,6130 is 2.

Lets's calculate LCM of 364,1799

7 364, 1799
52, 257

∴ So the LCM of the given numbers is 7 x 52 x 257 = 93548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93548

Therefore, the GCF of Fractions 4164/364,6130/1799 is 2/93548

Least Common Multiple of 364,1799 with GCF Formula

Least Common Multiple of 364,1799 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 364,1799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,1799) = 7

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

GCF(364,1799) x common factors =7 x 1 = 7

LCM(364,1799) = ( 364 × 1799 ) / 7

LCM(364,1799) = 654836 / 7

LCM(364,1799) = 93548


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 4164/364, 6130/1799

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 4164/364, 6130/1799?

Answer: GCF of Numerators as per given numbers 4164/364, 6130/1799 is

GCF of Numerators i.e. for 4164,6130 is 2

LCM of denominators i.e. for 364,1799 is 93548.

Thus, GCF of Fractions is 2/93548.Finally, GCF of Fractions for 4164/364, 6130/1799 is 2/93548.