LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 914/317, 858/171

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 914/317, 858/171 i.e 2/54207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/317, 858/171.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 914/317,858/171?

Given fractions are 914/317,858/171

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 914/317,858/171, numerators are 914,858

Denominators are 317,171

The GCF of 914,858 is 2 .

LCM of 317,171 is 54207.

The greatest common factor of 914/317,858/171 = [GCF of 914,858]/[LCM of 317,171]= 2/54207

Therefore, the GCF of 914/317,858/171 is 2/54207.

Greatest Common Factor of 914,858

To find the highest common factor of 914,858, we have to find the factors of both numbers and list the highest common factor.

The factors of 914 are 1, 2, 457, 914

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

The HCF of 914,858 is 2.

Lets's calculate GCF of 914,858

Greatest Common Factor (GCF) of 914,858 By Common Division

2 914, 858
457, 429

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

Greatest Common Factor of 914,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,858 By Matching Biggest Common Factor Method

Now, list down the factors of 914

:

1,2,457,914

Now, list down the factors of 858

:

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 914,858 . The biggest common factor number is the GCF number.
So the greatest common factor 914,858 is 2.

Lets's calculate LCM of 317,171

Lowest Common Multiple of 317,171 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 54207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54207

Therefore, the GCF of Fractions 914/317,858/171 is 2/54207

Least Common Multiple of 317,171 with GCF Formula

Least Common Multiple of 317,171 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 317,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,171) = 1

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

GCF(317,171) x common factors =1 x 1 = 1

LCM(317,171) = ( 317 × 171 ) / 1

LCM(317,171) = 54207 / 1

LCM(317,171) = 54207


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 914/317, 858/171

1. What is the HCF of 914,858?

The HCF of 914,858 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 914/317, 858/171?

Answer: GCF of Numerators as per given numbers 914/317, 858/171 is

GCF of Numerators i.e. for 914,858 is 2

LCM of denominators i.e. for 317,171 is 54207.

Thus, GCF of Fractions is 2/54207.Finally, GCF of Fractions for 914/317, 858/171 is 2/54207.