Greatest Common Factor of 417/85, 122/99, 833/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 417/85, 122/99, 833/894

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 417/85,122/99,833/894

Given fractions are 417/85,122/99,833/894

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 417,122,833

Greatest Common Factor of Numerators i.e. GCF of 417,122,833 is 1 .

LCM of Denominators means LCM of 85,99,894 as per the given fractions.

LCM of 85,99,894 is 2507670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 417,122,833

GCF of Fractions 417/85,122/99,833/894 is 1/2507670

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

Greatest Common Factor of 417,122,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,122,833 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 417,122,833 . The biggest common factor number is the GCF number.
So the greatest common factor 417,122,833 is 1.

Lets's calculate LCM of 85,99,894

3 85, 99, 894
85, 33, 298

∴ So the LCM of the given numbers is 3 x 85 x 33 x 298 = 2507670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2507670

Therefore, the GCF of Fractions 417/85,122/99,833/894 is 1/2507670

Least Common Multiple of 85,99,894 with GCF Formula

Least Common Multiple of 85,99,894 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 85,99,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,99,894) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,99,894) x common factors =1 x 3 = 3

LCM(85,99,894) = ( 85 × 99 × 894 ) / 3

LCM(85,99,894) = 7523010 / 3

LCM(85,99,894) = 2507670


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 417/85, 122/99, 833/894

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 417/85, 122/99, 833/894?

Answer: GCF of Numerators as per given numbers 417/85, 122/99, 833/894 is

GCF of Numerators i.e. for 417,122,833 is 1

LCM of denominators i.e. for 85,99,894 is 2507670.

Thus, GCF of Fractions is 1/2507670.Finally, GCF of Fractions for 417/85, 122/99, 833/894 is 1/2507670.