Greatest Common Factor of 104/719, 284/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/719, 284/692

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 104/719,284/692

Given fractions are 104/719,284/692

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 104,284

Greatest Common Factor of Numerators i.e. GCF of 104,284 is 4 .

LCM of Denominators means LCM of 719,692 as per the given fractions.

LCM of 719,692 is 497548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,284

GCF of Fractions 104/719,284/692 is 4/497548

2 104, 284
2 52, 142
26, 71

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 104,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,284 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 104,284 . The biggest common factor number is the GCF number.
So the greatest common factor 104,284 is 4.

Lets's calculate LCM of 719,692

Given numbers has no common factors except 1. So, there LCM is their product i.e 497548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/497548

Therefore, the GCF of Fractions 104/719,284/692 is 4/497548

Least Common Multiple of 719,692 with GCF Formula

Least Common Multiple of 719,692 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 719,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,692) = 1

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

GCF(719,692) x common factors =1 x 1 = 1

LCM(719,692) = ( 719 × 692 ) / 1

LCM(719,692) = 497548 / 1

LCM(719,692) = 497548


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 104/719, 284/692

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 104/719, 284/692?

Answer: GCF of Numerators as per given numbers 104/719, 284/692 is

GCF of Numerators i.e. for 104,284 is 4

LCM of denominators i.e. for 719,692 is 497548.

Thus, GCF of Fractions is 4/497548.Finally, GCF of Fractions for 104/719, 284/692 is 4/497548.