Greatest Common Factor of 19/142, 67/632, 832/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/142, 67/632, 832/778

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 19/142,67/632,832/778

Given fractions are 19/142,67/632,832/778

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 19,67,832

Greatest Common Factor of Numerators i.e. GCF of 19,67,832 is 1 .

LCM of Denominators means LCM of 142,632,778 as per the given fractions.

LCM of 142,632,778 is 17455208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,67,832

GCF of Fractions 19/142,67/632,832/778 is 1/17455208

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

Greatest Common Factor of 19,67,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,67,832 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 19,67,832 . The biggest common factor number is the GCF number.
So the greatest common factor 19,67,832 is 1.

Lets's calculate LCM of 142,632,778

2 142, 632, 778
71, 316, 389

∴ So the LCM of the given numbers is 2 x 71 x 316 x 389 = 17455208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17455208

Therefore, the GCF of Fractions 19/142,67/632,832/778 is 1/17455208

Least Common Multiple of 142,632,778 with GCF Formula

Least Common Multiple of 142,632,778 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 142,632,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,632,778) = 2

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

GCF(142,632,778) x common factors =2 x 2 = 4

LCM(142,632,778) = ( 142 × 632 × 778 ) / 4

LCM(142,632,778) = 69820832 / 4

LCM(142,632,778) = 17455208


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 19/142, 67/632, 832/778

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 19/142, 67/632, 832/778?

Answer: GCF of Numerators as per given numbers 19/142, 67/632, 832/778 is

GCF of Numerators i.e. for 19,67,832 is 1

LCM of denominators i.e. for 142,632,778 is 17455208.

Thus, GCF of Fractions is 1/17455208.Finally, GCF of Fractions for 19/142, 67/632, 832/778 is 1/17455208.