Greatest Common Factor of 880/48, 619/48, 174/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 880/48, 619/48, 174/822

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 880/48,619/48,174/822

Given fractions are 880/48,619/48,174/822

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 880,619,174

Greatest Common Factor of Numerators i.e. GCF of 880,619,174 is 1 .

LCM of Denominators means LCM of 48,48,822 as per the given fractions.

LCM of 48,48,822 is 6576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 880,619,174

GCF of Fractions 880/48,619/48,174/822 is 1/6576

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

Greatest Common Factor of 880,619,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,619,174 By Matching Biggest Common Factor Method

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

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 880,619,174 . The biggest common factor number is the GCF number.
So the greatest common factor 880,619,174 is 1.


Lets's calculate LCM of 48,48,822

2 48, 48, 822
2 24, 24, 411
2 12, 12, 411
2 6, 6, 411
3 3, 3, 411
1, 1, 137

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 1 x 137 = 6576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6576

Therefore, the GCF of Fractions 880/48,619/48,174/822 is 1/6576

Least Common Multiple of 48,48,822 with GCF Formula

Least Common Multiple of 48,48,822 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 48,48,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,48,822) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(48,48,822) x common factors =6 x 48 = 288

LCM(48,48,822) = ( 48 × 48 × 822 ) / 288

LCM(48,48,822) = 1893888 / 288

LCM(48,48,822) = 6576


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 880/48, 619/48, 174/822

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 880/48, 619/48, 174/822?

Answer: GCF of Numerators as per given numbers 880/48, 619/48, 174/822 is

GCF of Numerators i.e. for 880,619,174 is 1

LCM of denominators i.e. for 48,48,822 is 6576.

Thus, GCF of Fractions is 1/6576.Finally, GCF of Fractions for 880/48, 619/48, 174/822 is 1/6576.