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 868/46, 906/375

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 868/46, 906/375 i.e 2/17250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 868/46, 906/375.

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 868/46,906/375?

Given fractions are 868/46,906/375

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 868/46,906/375, numerators are 868,906

Denominators are 46,375

The GCF of 868,906 is 2 .

LCM of 46,375 is 17250.

The greatest common factor of 868/46,906/375 = [GCF of 868,906]/[LCM of 46,375]= 2/17250

Therefore, the GCF of 868/46,906/375 is 2/17250.

Greatest Common Factor of 868,906

To find the highest common factor of 868,906, we have to find the factors of both numbers and list the highest common factor.

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906

The HCF of 868,906 is 2.

Lets's calculate GCF of 868,906

Greatest Common Factor (GCF) of 868,906 By Common Division

2 868, 906
434, 453

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

Greatest Common Factor of 868,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,906 By Matching Biggest Common Factor Method

Now, list down the factors of 868

:

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

Now, list down the factors of 906

:

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 868,906 . The biggest common factor number is the GCF number.
So the greatest common factor 868,906 is 2.

Lets's calculate LCM of 46,375

Lowest Common Multiple of 46,375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17250

Therefore, the GCF of Fractions 868/46,906/375 is 2/17250

Least Common Multiple of 46,375 with GCF Formula

Least Common Multiple of 46,375 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 46,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,375) = 1

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

GCF(46,375) x common factors =1 x 1 = 1

LCM(46,375) = ( 46 × 375 ) / 1

LCM(46,375) = 17250 / 1

LCM(46,375) = 17250


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 868/46, 906/375

1. What is the HCF of 868,906?

The HCF of 868,906 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 868/46, 906/375?

Answer: GCF of Numerators as per given numbers 868/46, 906/375 is

GCF of Numerators i.e. for 868,906 is 2

LCM of denominators i.e. for 46,375 is 17250.

Thus, GCF of Fractions is 2/17250.Finally, GCF of Fractions for 868/46, 906/375 is 2/17250.