Greatest Common Factor of 1781/85, 4936/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1781/85, 4936/488

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 1781/85,4936/488

Given fractions are 1781/85,4936/488

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 1781,4936

Greatest Common Factor of Numerators i.e. GCF of 1781,4936 is 1 .

LCM of Denominators means LCM of 85,488 as per the given fractions.

LCM of 85,488 is 41480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1781,4936

GCF of Fractions 1781/85,4936/488 is 1/41480

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

Greatest Common Factor of 1781,4936 By Matching Biggest Common Factor Method

Greatest Common Factor of 1781,4936 By Matching Biggest Common Factor Method

Factors of 1781

List of positive integer factors of 1781 that divides 1781 without a remainder.

1,13,137,1781

Factors of 4936

List of positive integer factors of 4936 that divides 4936 without a remainder.

1,2,4,8,617,1234,2468,4936

Greatest Common Factor

We found the factors 1781,4936 . The biggest common factor number is the GCF number.
So the greatest common factor 1781,4936 is 1.

Lets's calculate LCM of 85,488

Given numbers has no common factors except 1. So, there LCM is their product i.e 41480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41480

Therefore, the GCF of Fractions 1781/85,4936/488 is 1/41480

Least Common Multiple of 85,488 with GCF Formula

Least Common Multiple of 85,488 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 85,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,488) = 1

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

GCF(85,488) x common factors =1 x 1 = 1

LCM(85,488) = ( 85 × 488 ) / 1

LCM(85,488) = 41480 / 1

LCM(85,488) = 41480


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 1781/85, 4936/488

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 1781/85, 4936/488?

Answer: GCF of Numerators as per given numbers 1781/85, 4936/488 is

GCF of Numerators i.e. for 1781,4936 is 1

LCM of denominators i.e. for 85,488 is 41480.

Thus, GCF of Fractions is 1/41480.Finally, GCF of Fractions for 1781/85, 4936/488 is 1/41480.