Greatest Common Factor of 4659/504, 9428/7148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4659/504, 9428/7148

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 4659/504,9428/7148

Given fractions are 4659/504,9428/7148

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 4659,9428

Greatest Common Factor of Numerators i.e. GCF of 4659,9428 is 1 .

LCM of Denominators means LCM of 504,7148 as per the given fractions.

LCM of 504,7148 is 900648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4659,9428

GCF of Fractions 4659/504,9428/7148 is 1/900648

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

Greatest Common Factor of 4659,9428 By Matching Biggest Common Factor Method

Greatest Common Factor of 4659,9428 By Matching Biggest Common Factor Method

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1,3,1553,4659

Factors of 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1,2,4,2357,4714,9428

Greatest Common Factor

We found the factors 4659,9428 . The biggest common factor number is the GCF number.
So the greatest common factor 4659,9428 is 1.

Lets's calculate LCM of 504,7148

2 504, 7148
2 252, 3574
126, 1787

∴ So the LCM of the given numbers is 2 x 2 x 126 x 1787 = 900648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900648

Therefore, the GCF of Fractions 4659/504,9428/7148 is 1/900648

Least Common Multiple of 504,7148 with GCF Formula

Least Common Multiple of 504,7148 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 504,7148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,7148) = 4

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

GCF(504,7148) x common factors =4 x 1 = 4

LCM(504,7148) = ( 504 × 7148 ) / 4

LCM(504,7148) = 3602592 / 4

LCM(504,7148) = 900648


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 4659/504, 9428/7148

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 4659/504, 9428/7148?

Answer: GCF of Numerators as per given numbers 4659/504, 9428/7148 is

GCF of Numerators i.e. for 4659,9428 is 1

LCM of denominators i.e. for 504,7148 is 900648.

Thus, GCF of Fractions is 1/900648.Finally, GCF of Fractions for 4659/504, 9428/7148 is 1/900648.