Greatest Common Factor of 614/158, 354/793, 414/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 614/158, 354/793, 414/808

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 614/158,354/793,414/808

Given fractions are 614/158,354/793,414/808

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 614,354,414

Greatest Common Factor of Numerators i.e. GCF of 614,354,414 is 2 .

LCM of Denominators means LCM of 158,793,808 as per the given fractions.

LCM of 158,793,808 is 50618776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 614,354,414

GCF of Fractions 614/158,354/793,414/808 is 2/50618776

2 614, 354, 414
307, 177, 207

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

Greatest Common Factor of 614,354,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,354,414 By Matching Biggest Common Factor Method

Factors of 614

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

1,2,307,614

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

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

Greatest Common Factor

We found the factors 614,354,414 . The biggest common factor number is the GCF number.
So the greatest common factor 614,354,414 is 2.

Lets's calculate LCM of 158,793,808

2 158, 793, 808
79, 793, 404

∴ So the LCM of the given numbers is 2 x 79 x 793 x 404 = 50618776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50618776

Therefore, the GCF of Fractions 614/158,354/793,414/808 is 2/50618776

Least Common Multiple of 158,793,808 with GCF Formula

Least Common Multiple of 158,793,808 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 158,793,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,793,808) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(158,793,808) x common factors =1 x 2 = 2

LCM(158,793,808) = ( 158 × 793 × 808 ) / 2

LCM(158,793,808) = 101237552 / 2

LCM(158,793,808) = 50618776


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 614/158, 354/793, 414/808

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 614/158, 354/793, 414/808?

Answer: GCF of Numerators as per given numbers 614/158, 354/793, 414/808 is

GCF of Numerators i.e. for 614,354,414 is 2

LCM of denominators i.e. for 158,793,808 is 50618776.

Thus, GCF of Fractions is 2/50618776.Finally, GCF of Fractions for 614/158, 354/793, 414/808 is 2/50618776.