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 668/764, 835/924

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 668/764, 835/924 i.e 167/176484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/764, 835/924.

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 668/764,835/924?

Given fractions are 668/764,835/924

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 668/764,835/924, numerators are 668,835

Denominators are 764,924

The GCF of 668,835 is 167 .

LCM of 764,924 is 176484.

The greatest common factor of 668/764,835/924 = [GCF of 668,835]/[LCM of 764,924]= 167/176484

Therefore, the GCF of 668/764,835/924 is 167/176484.

Greatest Common Factor of 668,835

To find the highest common factor of 668,835, we have to find the factors of both numbers and list the highest common factor.

The factors of 668 are 1, 2, 4, 167, 334, 668

The factors of 835 are 1, 5, 167, 835

The HCF of 668,835 is 167.

Lets's calculate GCF of 668,835

Greatest Common Factor (GCF) of 668,835 By Common Division

167 668, 835
4, 5

∴ So the GCF of the given numbers is 167 = 167

Greatest Common Factor of 668,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,835 By Matching Biggest Common Factor Method

Now, list down the factors of 668

:

1,2,4,167,334,668

Now, list down the factors of 835

:

1,5,167,835

Greatest Common Factor

We found the factors 668,835 . The biggest common factor number is the GCF number.
So the greatest common factor 668,835 is 167.

Lets's calculate LCM of 764,924

Lowest Common Multiple of 764,924 using Common Division

2 764, 924
2 382, 462
191, 231

∴ So the LCM of the given numbers is 2 x 2 x 191 x 231 = 176484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/176484

Therefore, the GCF of Fractions 668/764,835/924 is 167/176484

Least Common Multiple of 764,924 with GCF Formula

Least Common Multiple of 764,924 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 764,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,924) = 4

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

GCF(764,924) x common factors =4 x 1 = 4

LCM(764,924) = ( 764 × 924 ) / 4

LCM(764,924) = 705936 / 4

LCM(764,924) = 176484


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 668/764, 835/924

1. What is the HCF of 668,835?

The HCF of 668,835 is 167

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 668/764, 835/924?

Answer: GCF of Numerators as per given numbers 668/764, 835/924 is

GCF of Numerators i.e. for 668,835 is 167

LCM of denominators i.e. for 764,924 is 176484.

Thus, GCF of Fractions is 167/176484.Finally, GCF of Fractions for 668/764, 835/924 is 167/176484.