Greatest Common Factor of 2186/34, 4625/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2186/34, 4625/425

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 2186/34,4625/425

Given fractions are 2186/34,4625/425

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 2186,4625

Greatest Common Factor of Numerators i.e. GCF of 2186,4625 is 1 .

LCM of Denominators means LCM of 34,425 as per the given fractions.

LCM of 34,425 is 850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2186,4625

GCF of Fractions 2186/34,4625/425 is 1/850

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

Greatest Common Factor of 2186,4625 By Matching Biggest Common Factor Method

Greatest Common Factor of 2186,4625 By Matching Biggest Common Factor Method

Factors of 2186

List of positive integer factors of 2186 that divides 2186 without a remainder.

1,2,1093,2186

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1,5,25,37,125,185,925,4625

Greatest Common Factor

We found the factors 2186,4625 . The biggest common factor number is the GCF number.
So the greatest common factor 2186,4625 is 1.

Lets's calculate LCM of 34,425

17 34, 425
2, 25

∴ So the LCM of the given numbers is 17 x 2 x 25 = 850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850

Therefore, the GCF of Fractions 2186/34,4625/425 is 1/850

Least Common Multiple of 34,425 with GCF Formula

Least Common Multiple of 34,425 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 34,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,425) = 17

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

GCF(34,425) x common factors =17 x 1 = 17

LCM(34,425) = ( 34 × 425 ) / 17

LCM(34,425) = 14450 / 17

LCM(34,425) = 850


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 2186/34, 4625/425

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 2186/34, 4625/425?

Answer: GCF of Numerators as per given numbers 2186/34, 4625/425 is

GCF of Numerators i.e. for 2186,4625 is 1

LCM of denominators i.e. for 34,425 is 850.

Thus, GCF of Fractions is 1/850.Finally, GCF of Fractions for 2186/34, 4625/425 is 1/850.