Greatest Common Factor of 562/49, 617/83, 874/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/49, 617/83, 874/745

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 562/49,617/83,874/745

Given fractions are 562/49,617/83,874/745

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 562,617,874

Greatest Common Factor of Numerators i.e. GCF of 562,617,874 is 1 .

LCM of Denominators means LCM of 49,83,745 as per the given fractions.

LCM of 49,83,745 is 3029915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,617,874

GCF of Fractions 562/49,617/83,874/745 is 1/3029915

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

Greatest Common Factor of 562,617,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,617,874 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 562,617,874 . The biggest common factor number is the GCF number.
So the greatest common factor 562,617,874 is 1.

Lets's calculate LCM of 49,83,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 3029915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3029915

Therefore, the GCF of Fractions 562/49,617/83,874/745 is 1/3029915

Least Common Multiple of 49,83,745 with GCF Formula

Least Common Multiple of 49,83,745 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 49,83,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,83,745) = 1

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

GCF(49,83,745) x common factors =1 x 1 = 1

LCM(49,83,745) = ( 49 × 83 × 745 ) / 1

LCM(49,83,745) = 3029915 / 1

LCM(49,83,745) = 3029915


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 562/49, 617/83, 874/745

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 562/49, 617/83, 874/745?

Answer: GCF of Numerators as per given numbers 562/49, 617/83, 874/745 is

GCF of Numerators i.e. for 562,617,874 is 1

LCM of denominators i.e. for 49,83,745 is 3029915.

Thus, GCF of Fractions is 1/3029915.Finally, GCF of Fractions for 562/49, 617/83, 874/745 is 1/3029915.