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 592/91, 686/905

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 592/91, 686/905 i.e 2/82355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/91, 686/905.

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 592/91,686/905?

Given fractions are 592/91,686/905

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 592/91,686/905, numerators are 592,686

Denominators are 91,905

The GCF of 592,686 is 2 .

LCM of 91,905 is 82355.

The greatest common factor of 592/91,686/905 = [GCF of 592,686]/[LCM of 91,905]= 2/82355

Therefore, the GCF of 592/91,686/905 is 2/82355.

Greatest Common Factor of 592,686

To find the highest common factor of 592,686, we have to find the factors of both numbers and list the highest common factor.

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 592,686 is 2.

Lets's calculate GCF of 592,686

Greatest Common Factor (GCF) of 592,686 By Common Division

2 592, 686
296, 343

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

Greatest Common Factor of 592,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,686 By Matching Biggest Common Factor Method

Now, list down the factors of 592

:

1,2,4,8,16,37,74,148,296,592

Now, list down the factors of 686

:

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 592,686 . The biggest common factor number is the GCF number.
So the greatest common factor 592,686 is 2.

Lets's calculate LCM of 91,905

Lowest Common Multiple of 91,905 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82355

Therefore, the GCF of Fractions 592/91,686/905 is 2/82355

Least Common Multiple of 91,905 with GCF Formula

Least Common Multiple of 91,905 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 91,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,905) = 1

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

GCF(91,905) x common factors =1 x 1 = 1

LCM(91,905) = ( 91 × 905 ) / 1

LCM(91,905) = 82355 / 1

LCM(91,905) = 82355


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 592/91, 686/905

1. What is the HCF of 592,686?

The HCF of 592,686 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 592/91, 686/905?

Answer: GCF of Numerators as per given numbers 592/91, 686/905 is

GCF of Numerators i.e. for 592,686 is 2

LCM of denominators i.e. for 91,905 is 82355.

Thus, GCF of Fractions is 2/82355.Finally, GCF of Fractions for 592/91, 686/905 is 2/82355.