Greatest Common Factor of 3675/496, 4672/7466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3675/496, 4672/7466

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 3675/496,4672/7466

Given fractions are 3675/496,4672/7466

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 3675,4672

Greatest Common Factor of Numerators i.e. GCF of 3675,4672 is 1 .

LCM of Denominators means LCM of 496,7466 as per the given fractions.

LCM of 496,7466 is 1851568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3675,4672

GCF of Fractions 3675/496,4672/7466 is 1/1851568

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

Greatest Common Factor of 3675,4672 By Matching Biggest Common Factor Method

Greatest Common Factor of 3675,4672 By Matching Biggest Common Factor Method

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors 3675,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 3675,4672 is 1.

Lets's calculate LCM of 496,7466

2 496, 7466
248, 3733

∴ So the LCM of the given numbers is 2 x 248 x 3733 = 1851568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1851568

Therefore, the GCF of Fractions 3675/496,4672/7466 is 1/1851568

Least Common Multiple of 496,7466 with GCF Formula

Least Common Multiple of 496,7466 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 496,7466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,7466) = 2

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

GCF(496,7466) x common factors =2 x 1 = 2

LCM(496,7466) = ( 496 × 7466 ) / 2

LCM(496,7466) = 3703136 / 2

LCM(496,7466) = 1851568


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3675/496, 4672/7466

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 3675/496, 4672/7466?

Answer: GCF of Numerators as per given numbers 3675/496, 4672/7466 is

GCF of Numerators i.e. for 3675,4672 is 1

LCM of denominators i.e. for 496,7466 is 1851568.

Thus, GCF of Fractions is 1/1851568.Finally, GCF of Fractions for 3675/496, 4672/7466 is 1/1851568.