Greatest Common Factor of 585/417, 698/110, 763/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 585/417, 698/110, 763/225

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 585/417,698/110,763/225

Given fractions are 585/417,698/110,763/225

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 585,698,763

Greatest Common Factor of Numerators i.e. GCF of 585,698,763 is 1 .

LCM of Denominators means LCM of 417,110,225 as per the given fractions.

LCM of 417,110,225 is 688050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 585,698,763

GCF of Fractions 585/417,698/110,763/225 is 1/688050

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

Greatest Common Factor of 585,698,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,698,763 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 585,698,763 . The biggest common factor number is the GCF number.
So the greatest common factor 585,698,763 is 1.

Lets's calculate LCM of 417,110,225

3 417, 110, 225
5 139, 110, 75
139, 22, 15

∴ So the LCM of the given numbers is 3 x 5 x 139 x 22 x 15 = 688050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/688050

Therefore, the GCF of Fractions 585/417,698/110,763/225 is 1/688050

Least Common Multiple of 417,110,225 with GCF Formula

Least Common Multiple of 417,110,225 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 417,110,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,110,225) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(417,110,225) x common factors =1 x 15 = 15

LCM(417,110,225) = ( 417 × 110 × 225 ) / 15

LCM(417,110,225) = 10320750 / 15

LCM(417,110,225) = 688050


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 585/417, 698/110, 763/225

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 585/417, 698/110, 763/225?

Answer: GCF of Numerators as per given numbers 585/417, 698/110, 763/225 is

GCF of Numerators i.e. for 585,698,763 is 1

LCM of denominators i.e. for 417,110,225 is 688050.

Thus, GCF of Fractions is 1/688050.Finally, GCF of Fractions for 585/417, 698/110, 763/225 is 1/688050.