Greatest Common Factor of 824/895, 668/817, 941/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/895, 668/817, 941/810

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 824/895,668/817,941/810

Given fractions are 824/895,668/817,941/810

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 824,668,941

Greatest Common Factor of Numerators i.e. GCF of 824,668,941 is 1 .

LCM of Denominators means LCM of 895,817,810 as per the given fractions.

LCM of 895,817,810 is 118456830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,668,941

GCF of Fractions 824/895,668/817,941/810 is 1/118456830

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

Greatest Common Factor of 824,668,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,668,941 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 824,668,941 . The biggest common factor number is the GCF number.
So the greatest common factor 824,668,941 is 1.

Lets's calculate LCM of 895,817,810

5 895, 817, 810
179, 817, 162

∴ So the LCM of the given numbers is 5 x 179 x 817 x 162 = 118456830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118456830

Therefore, the GCF of Fractions 824/895,668/817,941/810 is 1/118456830

Least Common Multiple of 895,817,810 with GCF Formula

Least Common Multiple of 895,817,810 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 895,817,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,817,810) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(895,817,810) x common factors =1 x 5 = 5

LCM(895,817,810) = ( 895 × 817 × 810 ) / 5

LCM(895,817,810) = 592284150 / 5

LCM(895,817,810) = 118456830


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 824/895, 668/817, 941/810

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 824/895, 668/817, 941/810?

Answer: GCF of Numerators as per given numbers 824/895, 668/817, 941/810 is

GCF of Numerators i.e. for 824,668,941 is 1

LCM of denominators i.e. for 895,817,810 is 118456830.

Thus, GCF of Fractions is 1/118456830.Finally, GCF of Fractions for 824/895, 668/817, 941/810 is 1/118456830.