Greatest Common Factor of 1705/923, 5129/9385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1705/923, 5129/9385

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 1705/923,5129/9385

Given fractions are 1705/923,5129/9385

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 1705,5129

Greatest Common Factor of Numerators i.e. GCF of 1705,5129 is 1 .

LCM of Denominators means LCM of 923,9385 as per the given fractions.

LCM of 923,9385 is 8662355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1705,5129

GCF of Fractions 1705/923,5129/9385 is 1/8662355

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

Greatest Common Factor of 1705,5129 By Matching Biggest Common Factor Method

Greatest Common Factor of 1705,5129 By Matching Biggest Common Factor Method

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Factors of 5129

List of positive integer factors of 5129 that divides 5129 without a remainder.

1,23,223,5129

Greatest Common Factor

We found the factors 1705,5129 . The biggest common factor number is the GCF number.
So the greatest common factor 1705,5129 is 1.

Lets's calculate LCM of 923,9385

Given numbers has no common factors except 1. So, there LCM is their product i.e 8662355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8662355

Therefore, the GCF of Fractions 1705/923,5129/9385 is 1/8662355

Least Common Multiple of 923,9385 with GCF Formula

Least Common Multiple of 923,9385 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 923,9385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,9385) = 1

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

GCF(923,9385) x common factors =1 x 1 = 1

LCM(923,9385) = ( 923 × 9385 ) / 1

LCM(923,9385) = 8662355 / 1

LCM(923,9385) = 8662355


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 1705/923, 5129/9385

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 1705/923, 5129/9385?

Answer: GCF of Numerators as per given numbers 1705/923, 5129/9385 is

GCF of Numerators i.e. for 1705,5129 is 1

LCM of denominators i.e. for 923,9385 is 8662355.

Thus, GCF of Fractions is 1/8662355.Finally, GCF of Fractions for 1705/923, 5129/9385 is 1/8662355.