Greatest Common Factor of 601/64, 293/35, 325/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/64, 293/35, 325/468

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 601/64,293/35,325/468

Given fractions are 601/64,293/35,325/468

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 601,293,325

Greatest Common Factor of Numerators i.e. GCF of 601,293,325 is 1 .

LCM of Denominators means LCM of 64,35,468 as per the given fractions.

LCM of 64,35,468 is 262080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,293,325

GCF of Fractions 601/64,293/35,325/468 is 1/262080

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

Greatest Common Factor of 601,293,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,293,325 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 601,293,325 . The biggest common factor number is the GCF number.
So the greatest common factor 601,293,325 is 1.

Lets's calculate LCM of 64,35,468

2 64, 35, 468
2 32, 35, 234
16, 35, 117

∴ So the LCM of the given numbers is 2 x 2 x 16 x 35 x 117 = 262080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262080

Therefore, the GCF of Fractions 601/64,293/35,325/468 is 1/262080

Least Common Multiple of 64,35,468 with GCF Formula

Least Common Multiple of 64,35,468 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 64,35,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,35,468) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,35,468) x common factors =1 x 4 = 4

LCM(64,35,468) = ( 64 × 35 × 468 ) / 4

LCM(64,35,468) = 1048320 / 4

LCM(64,35,468) = 262080


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 601/64, 293/35, 325/468

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 601/64, 293/35, 325/468?

Answer: GCF of Numerators as per given numbers 601/64, 293/35, 325/468 is

GCF of Numerators i.e. for 601,293,325 is 1

LCM of denominators i.e. for 64,35,468 is 262080.

Thus, GCF of Fractions is 1/262080.Finally, GCF of Fractions for 601/64, 293/35, 325/468 is 1/262080.