Greatest Common Factor of 416/388, 294/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/388, 294/677

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 416/388,294/677

Given fractions are 416/388,294/677

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 416,294

Greatest Common Factor of Numerators i.e. GCF of 416,294 is 2 .

LCM of Denominators means LCM of 388,677 as per the given fractions.

LCM of 388,677 is 262676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,294

GCF of Fractions 416/388,294/677 is 2/262676

2 416, 294
208, 147

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

Greatest Common Factor of 416,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,294 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 416,294 . The biggest common factor number is the GCF number.
So the greatest common factor 416,294 is 2.

Lets's calculate LCM of 388,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 262676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/262676

Therefore, the GCF of Fractions 416/388,294/677 is 2/262676

Least Common Multiple of 388,677 with GCF Formula

Least Common Multiple of 388,677 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 388,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,677) = 1

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

GCF(388,677) x common factors =1 x 1 = 1

LCM(388,677) = ( 388 × 677 ) / 1

LCM(388,677) = 262676 / 1

LCM(388,677) = 262676


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 416/388, 294/677

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 416/388, 294/677?

Answer: GCF of Numerators as per given numbers 416/388, 294/677 is

GCF of Numerators i.e. for 416,294 is 2

LCM of denominators i.e. for 388,677 is 262676.

Thus, GCF of Fractions is 2/262676.Finally, GCF of Fractions for 416/388, 294/677 is 2/262676.