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 931/68, 573/8612

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 931/68, 573/8612 i.e 1/146404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/68, 573/8612.

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 931/68,573/8612?

Given fractions are 931/68,573/8612

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 931/68,573/8612, numerators are 931,573

Denominators are 68,8612

The GCF of 931,573 is 1 .

LCM of 68,8612 is 146404.

The greatest common factor of 931/68,573/8612 = [GCF of 931,573]/[LCM of 68,8612]= 1/146404

Therefore, the GCF of 931/68,573/8612 is 1/146404.

Greatest Common Factor of 931,573

To find the highest common factor of 931,573, we have to find the factors of both numbers and list the highest common factor.

The factors of 931 are 1, 7, 19, 49, 133, 931

The factors of 573 are 1, 3, 191, 573

The HCF of 931,573 is 1.

Lets's calculate GCF of 931,573

Greatest Common Factor (GCF) of 931,573 By Common Division

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

Greatest Common Factor of 931,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,573 By Matching Biggest Common Factor Method

Now, list down the factors of 931

:

1,7,19,49,133,931

Now, list down the factors of 573

:

1,3,191,573

Greatest Common Factor

We found the factors 931,573 . The biggest common factor number is the GCF number.
So the greatest common factor 931,573 is 1.

Lets's calculate LCM of 68,8612

Lowest Common Multiple of 68,8612 using Common Division

2 68, 8612
2 34, 4306
17, 2153

∴ So the LCM of the given numbers is 2 x 2 x 17 x 2153 = 146404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146404

Therefore, the GCF of Fractions 931/68,573/8612 is 1/146404

Least Common Multiple of 68,8612 with GCF Formula

Least Common Multiple of 68,8612 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 68,8612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,8612) = 4

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

GCF(68,8612) x common factors =4 x 1 = 4

LCM(68,8612) = ( 68 × 8612 ) / 4

LCM(68,8612) = 585616 / 4

LCM(68,8612) = 146404


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 931/68, 573/8612

1. What is the HCF of 931,573?

The HCF of 931,573 is 1

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 931/68, 573/8612?

Answer: GCF of Numerators as per given numbers 931/68, 573/8612 is

GCF of Numerators i.e. for 931,573 is 1

LCM of denominators i.e. for 68,8612 is 146404.

Thus, GCF of Fractions is 1/146404.Finally, GCF of Fractions for 931/68, 573/8612 is 1/146404.