Greatest Common Factor of 196/710, 299/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/710, 299/549

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 196/710,299/549

Given fractions are 196/710,299/549

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 196,299

Greatest Common Factor of Numerators i.e. GCF of 196,299 is 1 .

LCM of Denominators means LCM of 710,549 as per the given fractions.

LCM of 710,549 is 389790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,299

GCF of Fractions 196/710,299/549 is 1/389790

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

Greatest Common Factor of 196,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,299 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 196,299 . The biggest common factor number is the GCF number.
So the greatest common factor 196,299 is 1.

Lets's calculate LCM of 710,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 389790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389790

Therefore, the GCF of Fractions 196/710,299/549 is 1/389790

Least Common Multiple of 710,549 with GCF Formula

Least Common Multiple of 710,549 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 710,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,549) = 1

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

GCF(710,549) x common factors =1 x 1 = 1

LCM(710,549) = ( 710 × 549 ) / 1

LCM(710,549) = 389790 / 1

LCM(710,549) = 389790


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 196/710, 299/549

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 196/710, 299/549?

Answer: GCF of Numerators as per given numbers 196/710, 299/549 is

GCF of Numerators i.e. for 196,299 is 1

LCM of denominators i.e. for 710,549 is 389790.

Thus, GCF of Fractions is 1/389790.Finally, GCF of Fractions for 196/710, 299/549 is 1/389790.