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 766/29, 808/7965

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 766/29, 808/7965 i.e 2/230985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/29, 808/7965.

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 766/29,808/7965?

Given fractions are 766/29,808/7965

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 766/29,808/7965, numerators are 766,808

Denominators are 29,7965

The GCF of 766,808 is 2 .

LCM of 29,7965 is 230985.

The greatest common factor of 766/29,808/7965 = [GCF of 766,808]/[LCM of 29,7965]= 2/230985

Therefore, the GCF of 766/29,808/7965 is 2/230985.

Greatest Common Factor of 766,808

To find the highest common factor of 766,808, we have to find the factors of both numbers and list the highest common factor.

The factors of 766 are 1, 2, 383, 766

The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808

The HCF of 766,808 is 2.

Lets's calculate GCF of 766,808

Greatest Common Factor (GCF) of 766,808 By Common Division

2 766, 808
383, 404

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

Greatest Common Factor of 766,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,808 By Matching Biggest Common Factor Method

Now, list down the factors of 766

:

1,2,383,766

Now, list down the factors of 808

:

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 766,808 . The biggest common factor number is the GCF number.
So the greatest common factor 766,808 is 2.

Lets's calculate LCM of 29,7965

Lowest Common Multiple of 29,7965 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 230985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230985

Therefore, the GCF of Fractions 766/29,808/7965 is 2/230985

Least Common Multiple of 29,7965 with GCF Formula

Least Common Multiple of 29,7965 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 29,7965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,7965) = 1

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

GCF(29,7965) x common factors =1 x 1 = 1

LCM(29,7965) = ( 29 × 7965 ) / 1

LCM(29,7965) = 230985 / 1

LCM(29,7965) = 230985


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 766/29, 808/7965

1. What is the HCF of 766,808?

The HCF of 766,808 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 766/29, 808/7965?

Answer: GCF of Numerators as per given numbers 766/29, 808/7965 is

GCF of Numerators i.e. for 766,808 is 2

LCM of denominators i.e. for 29,7965 is 230985.

Thus, GCF of Fractions is 2/230985.Finally, GCF of Fractions for 766/29, 808/7965 is 2/230985.