Greatest Common Factor of 1381/77, 9200/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1381/77, 9200/498

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 1381/77,9200/498

Given fractions are 1381/77,9200/498

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 1381,9200

Greatest Common Factor of Numerators i.e. GCF of 1381,9200 is 1 .

LCM of Denominators means LCM of 77,498 as per the given fractions.

LCM of 77,498 is 38346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1381,9200

GCF of Fractions 1381/77,9200/498 is 1/38346

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

Greatest Common Factor of 1381,9200 By Matching Biggest Common Factor Method

Greatest Common Factor of 1381,9200 By Matching Biggest Common Factor Method

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1,1381

Factors of 9200

List of positive integer factors of 9200 that divides 9200 without a remainder.

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Greatest Common Factor

We found the factors 1381,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 1381,9200 is 1.

Lets's calculate LCM of 77,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 38346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38346

Therefore, the GCF of Fractions 1381/77,9200/498 is 1/38346

Least Common Multiple of 77,498 with GCF Formula

Least Common Multiple of 77,498 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 77,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,498) = 1

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

GCF(77,498) x common factors =1 x 1 = 1

LCM(77,498) = ( 77 × 498 ) / 1

LCM(77,498) = 38346 / 1

LCM(77,498) = 38346


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 1381/77, 9200/498

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 1381/77, 9200/498?

Answer: GCF of Numerators as per given numbers 1381/77, 9200/498 is

GCF of Numerators i.e. for 1381,9200 is 1

LCM of denominators i.e. for 77,498 is 38346.

Thus, GCF of Fractions is 1/38346.Finally, GCF of Fractions for 1381/77, 9200/498 is 1/38346.