Greatest Common Factor of 869/214, 6425/1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/214, 6425/1448

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 869/214,6425/1448

Given fractions are 869/214,6425/1448

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 869,6425

Greatest Common Factor of Numerators i.e. GCF of 869,6425 is 1 .

LCM of Denominators means LCM of 214,1448 as per the given fractions.

LCM of 214,1448 is 154936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,6425

GCF of Fractions 869/214,6425/1448 is 1/154936

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

Greatest Common Factor of 869,6425 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,6425 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors 869,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 869,6425 is 1.

Lets's calculate LCM of 214,1448

2 214, 1448
107, 724

∴ So the LCM of the given numbers is 2 x 107 x 724 = 154936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154936

Therefore, the GCF of Fractions 869/214,6425/1448 is 1/154936

Least Common Multiple of 214,1448 with GCF Formula

Least Common Multiple of 214,1448 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 214,1448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,1448) = 2

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

GCF(214,1448) x common factors =2 x 1 = 2

LCM(214,1448) = ( 214 × 1448 ) / 2

LCM(214,1448) = 309872 / 2

LCM(214,1448) = 154936


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 869/214, 6425/1448

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 869/214, 6425/1448?

Answer: GCF of Numerators as per given numbers 869/214, 6425/1448 is

GCF of Numerators i.e. for 869,6425 is 1

LCM of denominators i.e. for 214,1448 is 154936.

Thus, GCF of Fractions is 1/154936.Finally, GCF of Fractions for 869/214, 6425/1448 is 1/154936.