Greatest Common Factor of 407/77, 835/91, 311/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/77, 835/91, 311/885

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 407/77,835/91,311/885

Given fractions are 407/77,835/91,311/885

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 407,835,311

Greatest Common Factor of Numerators i.e. GCF of 407,835,311 is 1 .

LCM of Denominators means LCM of 77,91,885 as per the given fractions.

LCM of 77,91,885 is 885885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,835,311

GCF of Fractions 407/77,835/91,311/885 is 1/885885

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

Greatest Common Factor of 407,835,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,835,311 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 407,835,311 . The biggest common factor number is the GCF number.
So the greatest common factor 407,835,311 is 1.

Lets's calculate LCM of 77,91,885

7 77, 91, 885
11, 13, 885

∴ So the LCM of the given numbers is 7 x 11 x 13 x 885 = 885885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/885885

Therefore, the GCF of Fractions 407/77,835/91,311/885 is 1/885885

Least Common Multiple of 77,91,885 with GCF Formula

Least Common Multiple of 77,91,885 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 77,91,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,91,885) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,91,885) x common factors =1 x 7 = 7

LCM(77,91,885) = ( 77 × 91 × 885 ) / 7

LCM(77,91,885) = 6201195 / 7

LCM(77,91,885) = 885885


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 407/77, 835/91, 311/885

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 407/77, 835/91, 311/885?

Answer: GCF of Numerators as per given numbers 407/77, 835/91, 311/885 is

GCF of Numerators i.e. for 407,835,311 is 1

LCM of denominators i.e. for 77,91,885 is 885885.

Thus, GCF of Fractions is 1/885885.Finally, GCF of Fractions for 407/77, 835/91, 311/885 is 1/885885.