Greatest Common Factor of 827/15, 770/7734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/15, 770/7734

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 827/15,770/7734

Given fractions are 827/15,770/7734

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 827,770

Greatest Common Factor of Numerators i.e. GCF of 827,770 is 1 .

LCM of Denominators means LCM of 15,7734 as per the given fractions.

LCM of 15,7734 is 38670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,770

GCF of Fractions 827/15,770/7734 is 1/38670

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

Greatest Common Factor of 827,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,770 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 827,770 . The biggest common factor number is the GCF number.
So the greatest common factor 827,770 is 1.

Lets's calculate LCM of 15,7734

3 15, 7734
5, 2578

∴ So the LCM of the given numbers is 3 x 5 x 2578 = 38670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38670

Therefore, the GCF of Fractions 827/15,770/7734 is 1/38670

Least Common Multiple of 15,7734 with GCF Formula

Least Common Multiple of 15,7734 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 15,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,7734) = 3

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

GCF(15,7734) x common factors =3 x 1 = 3

LCM(15,7734) = ( 15 × 7734 ) / 3

LCM(15,7734) = 116010 / 3

LCM(15,7734) = 38670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 827/15, 770/7734

1. 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.

2. What is the GCF of Fractions for 827/15, 770/7734?

Answer: GCF of Numerators as per given numbers 827/15, 770/7734 is

GCF of Numerators i.e. for 827,770 is 1

LCM of denominators i.e. for 15,7734 is 38670.

Thus, GCF of Fractions is 1/38670.Finally, GCF of Fractions for 827/15, 770/7734 is 1/38670.