Greatest Common Factor of 93/98, 829/31, 401/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/98, 829/31, 401/794

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 93/98,829/31,401/794

Given fractions are 93/98,829/31,401/794

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 93,829,401

Greatest Common Factor of Numerators i.e. GCF of 93,829,401 is 1 .

LCM of Denominators means LCM of 98,31,794 as per the given fractions.

LCM of 98,31,794 is 1206086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,829,401

GCF of Fractions 93/98,829/31,401/794 is 1/1206086

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

Greatest Common Factor of 93,829,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,829,401 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 93,829,401 . The biggest common factor number is the GCF number.
So the greatest common factor 93,829,401 is 1.

Lets's calculate LCM of 98,31,794

2 98, 31, 794
49, 31, 397

∴ So the LCM of the given numbers is 2 x 49 x 31 x 397 = 1206086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206086

Therefore, the GCF of Fractions 93/98,829/31,401/794 is 1/1206086

Least Common Multiple of 98,31,794 with GCF Formula

Least Common Multiple of 98,31,794 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 98,31,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,31,794) = 1

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

GCF(98,31,794) x common factors =1 x 2 = 2

LCM(98,31,794) = ( 98 × 31 × 794 ) / 2

LCM(98,31,794) = 2412172 / 2

LCM(98,31,794) = 1206086


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 93/98, 829/31, 401/794

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 93/98, 829/31, 401/794?

Answer: GCF of Numerators as per given numbers 93/98, 829/31, 401/794 is

GCF of Numerators i.e. for 93,829,401 is 1

LCM of denominators i.e. for 98,31,794 is 1206086.

Thus, GCF of Fractions is 1/1206086.Finally, GCF of Fractions for 93/98, 829/31, 401/794 is 1/1206086.