Greatest Common Factor of 898/19, 769/98, 356/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/19, 769/98, 356/306

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 898/19,769/98,356/306

Given fractions are 898/19,769/98,356/306

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 898,769,356

Greatest Common Factor of Numerators i.e. GCF of 898,769,356 is 1 .

LCM of Denominators means LCM of 19,98,306 as per the given fractions.

LCM of 19,98,306 is 284886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,769,356

GCF of Fractions 898/19,769/98,356/306 is 1/284886

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

Greatest Common Factor of 898,769,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,769,356 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 898,769,356 . The biggest common factor number is the GCF number.
So the greatest common factor 898,769,356 is 1.

Lets's calculate LCM of 19,98,306

2 19, 98, 306
19, 49, 153

∴ So the LCM of the given numbers is 2 x 19 x 49 x 153 = 284886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284886

Therefore, the GCF of Fractions 898/19,769/98,356/306 is 1/284886

Least Common Multiple of 19,98,306 with GCF Formula

Least Common Multiple of 19,98,306 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 19,98,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,98,306) = 1

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

GCF(19,98,306) x common factors =1 x 2 = 2

LCM(19,98,306) = ( 19 × 98 × 306 ) / 2

LCM(19,98,306) = 569772 / 2

LCM(19,98,306) = 284886


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 898/19, 769/98, 356/306

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 898/19, 769/98, 356/306?

Answer: GCF of Numerators as per given numbers 898/19, 769/98, 356/306 is

GCF of Numerators i.e. for 898,769,356 is 1

LCM of denominators i.e. for 19,98,306 is 284886.

Thus, GCF of Fractions is 1/284886.Finally, GCF of Fractions for 898/19, 769/98, 356/306 is 1/284886.