Greatest Common Factor of 128/787, 424/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/787, 424/419

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 128/787,424/419

Given fractions are 128/787,424/419

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 128,424

Greatest Common Factor of Numerators i.e. GCF of 128,424 is 8 .

LCM of Denominators means LCM of 787,419 as per the given fractions.

LCM of 787,419 is 329753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,424

GCF of Fractions 128/787,424/419 is 8/329753

2 128, 424
2 64, 212
2 32, 106
16, 53

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 128,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,424 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 128,424 . The biggest common factor number is the GCF number.
So the greatest common factor 128,424 is 8.

Lets's calculate LCM of 787,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 329753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/329753

Therefore, the GCF of Fractions 128/787,424/419 is 8/329753

Least Common Multiple of 787,419 with GCF Formula

Least Common Multiple of 787,419 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 787,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,419) = 1

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

GCF(787,419) x common factors =1 x 1 = 1

LCM(787,419) = ( 787 × 419 ) / 1

LCM(787,419) = 329753 / 1

LCM(787,419) = 329753


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 128/787, 424/419

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 128/787, 424/419?

Answer: GCF of Numerators as per given numbers 128/787, 424/419 is

GCF of Numerators i.e. for 128,424 is 8

LCM of denominators i.e. for 787,419 is 329753.

Thus, GCF of Fractions is 8/329753.Finally, GCF of Fractions for 128/787, 424/419 is 8/329753.