Greatest Common Factor of 807/55, 214/17, 880/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/55, 214/17, 880/678

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 807/55,214/17,880/678

Given fractions are 807/55,214/17,880/678

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 807,214,880

Greatest Common Factor of Numerators i.e. GCF of 807,214,880 is 1 .

LCM of Denominators means LCM of 55,17,678 as per the given fractions.

LCM of 55,17,678 is 633930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,214,880

GCF of Fractions 807/55,214/17,880/678 is 1/633930

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

Greatest Common Factor of 807,214,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,214,880 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 807,214,880 . The biggest common factor number is the GCF number.
So the greatest common factor 807,214,880 is 1.

Lets's calculate LCM of 55,17,678

Given numbers has no common factors except 1. So, there LCM is their product i.e 633930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633930

Therefore, the GCF of Fractions 807/55,214/17,880/678 is 1/633930

Least Common Multiple of 55,17,678 with GCF Formula

Least Common Multiple of 55,17,678 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 55,17,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,17,678) = 1

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

GCF(55,17,678) x common factors =1 x 1 = 1

LCM(55,17,678) = ( 55 × 17 × 678 ) / 1

LCM(55,17,678) = 633930 / 1

LCM(55,17,678) = 633930


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 807/55, 214/17, 880/678

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 807/55, 214/17, 880/678?

Answer: GCF of Numerators as per given numbers 807/55, 214/17, 880/678 is

GCF of Numerators i.e. for 807,214,880 is 1

LCM of denominators i.e. for 55,17,678 is 633930.

Thus, GCF of Fractions is 1/633930.Finally, GCF of Fractions for 807/55, 214/17, 880/678 is 1/633930.