Greatest Common Factor of 795/919, 407/846, 808/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/919, 407/846, 808/170

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 795/919,407/846,808/170

Given fractions are 795/919,407/846,808/170

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 795,407,808

Greatest Common Factor of Numerators i.e. GCF of 795,407,808 is 1 .

LCM of Denominators means LCM of 919,846,170 as per the given fractions.

LCM of 919,846,170 is 66085290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,407,808

GCF of Fractions 795/919,407/846,808/170 is 1/66085290

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

Greatest Common Factor of 795,407,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,407,808 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

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

Greatest Common Factor

We found the factors 795,407,808 . The biggest common factor number is the GCF number.
So the greatest common factor 795,407,808 is 1.

Lets's calculate LCM of 919,846,170

2 919, 846, 170
919, 423, 85

∴ So the LCM of the given numbers is 2 x 919 x 423 x 85 = 66085290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66085290

Therefore, the GCF of Fractions 795/919,407/846,808/170 is 1/66085290

Least Common Multiple of 919,846,170 with GCF Formula

Least Common Multiple of 919,846,170 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 919,846,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,846,170) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(919,846,170) x common factors =1 x 2 = 2

LCM(919,846,170) = ( 919 × 846 × 170 ) / 2

LCM(919,846,170) = 132170580 / 2

LCM(919,846,170) = 66085290


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 795/919, 407/846, 808/170

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 795/919, 407/846, 808/170?

Answer: GCF of Numerators as per given numbers 795/919, 407/846, 808/170 is

GCF of Numerators i.e. for 795,407,808 is 1

LCM of denominators i.e. for 919,846,170 is 66085290.

Thus, GCF of Fractions is 1/66085290.Finally, GCF of Fractions for 795/919, 407/846, 808/170 is 1/66085290.