Greatest Common Factor of 414/35, 614/24, 972/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/35, 614/24, 972/345

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 414/35,614/24,972/345

Given fractions are 414/35,614/24,972/345

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 414,614,972

Greatest Common Factor of Numerators i.e. GCF of 414,614,972 is 2 .

LCM of Denominators means LCM of 35,24,345 as per the given fractions.

LCM of 35,24,345 is 19320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,614,972

GCF of Fractions 414/35,614/24,972/345 is 2/19320

2 414, 614, 972
207, 307, 486

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

Greatest Common Factor of 414,614,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,614,972 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 414,614,972 . The biggest common factor number is the GCF number.
So the greatest common factor 414,614,972 is 2.

Lets's calculate LCM of 35,24,345

3 35, 24, 345
5 35, 8, 115
7, 8, 23

∴ So the LCM of the given numbers is 3 x 5 x 7 x 8 x 23 = 19320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19320

Therefore, the GCF of Fractions 414/35,614/24,972/345 is 2/19320

Least Common Multiple of 35,24,345 with GCF Formula

Least Common Multiple of 35,24,345 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 35,24,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,24,345) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(35,24,345) x common factors =1 x 15 = 15

LCM(35,24,345) = ( 35 × 24 × 345 ) / 15

LCM(35,24,345) = 289800 / 15

LCM(35,24,345) = 19320


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 414/35, 614/24, 972/345

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 414/35, 614/24, 972/345?

Answer: GCF of Numerators as per given numbers 414/35, 614/24, 972/345 is

GCF of Numerators i.e. for 414,614,972 is 2

LCM of denominators i.e. for 35,24,345 is 19320.

Thus, GCF of Fractions is 2/19320.Finally, GCF of Fractions for 414/35, 614/24, 972/345 is 2/19320.