Greatest Common Factor of 868/834, 3354/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/834, 3354/931

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 868/834,3354/931

Given fractions are 868/834,3354/931

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 868,3354

Greatest Common Factor of Numerators i.e. GCF of 868,3354 is 2 .

LCM of Denominators means LCM of 834,931 as per the given fractions.

LCM of 834,931 is 776454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,3354

GCF of Fractions 868/834,3354/931 is 2/776454

2 868, 3354
434, 1677

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 868,3354 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,3354 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 3354

List of positive integer factors of 3354 that divides 3354 without a remainder.

1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354

Greatest Common Factor

We found the factors 868,3354 . The biggest common factor number is the GCF number.
So the greatest common factor 868,3354 is 2.

Lets's calculate LCM of 834,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 776454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/776454

Therefore, the GCF of Fractions 868/834,3354/931 is 2/776454

Least Common Multiple of 834,931 with GCF Formula

Least Common Multiple of 834,931 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 834,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,931) = 1

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

GCF(834,931) x common factors =1 x 1 = 1

LCM(834,931) = ( 834 × 931 ) / 1

LCM(834,931) = 776454 / 1

LCM(834,931) = 776454


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 868/834, 3354/931

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 868/834, 3354/931?

Answer: GCF of Numerators as per given numbers 868/834, 3354/931 is

GCF of Numerators i.e. for 868,3354 is 2

LCM of denominators i.e. for 834,931 is 776454.

Thus, GCF of Fractions is 2/776454.Finally, GCF of Fractions for 868/834, 3354/931 is 2/776454.