Greatest Common Factor of 495/19, 783/70, 681/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/19, 783/70, 681/556

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 495/19,783/70,681/556

Given fractions are 495/19,783/70,681/556

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 495,783,681

Greatest Common Factor of Numerators i.e. GCF of 495,783,681 is 3 .

LCM of Denominators means LCM of 19,70,556 as per the given fractions.

LCM of 19,70,556 is 369740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,783,681

GCF of Fractions 495/19,783/70,681/556 is 3/369740

3 495, 783, 681
165, 261, 227

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 495,783,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,783,681 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 495,783,681 . The biggest common factor number is the GCF number.
So the greatest common factor 495,783,681 is 3.

Lets's calculate LCM of 19,70,556

2 19, 70, 556
19, 35, 278

∴ So the LCM of the given numbers is 2 x 19 x 35 x 278 = 369740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/369740

Therefore, the GCF of Fractions 495/19,783/70,681/556 is 3/369740

Least Common Multiple of 19,70,556 with GCF Formula

Least Common Multiple of 19,70,556 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 19,70,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,70,556) = 1

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

GCF(19,70,556) x common factors =1 x 2 = 2

LCM(19,70,556) = ( 19 × 70 × 556 ) / 2

LCM(19,70,556) = 739480 / 2

LCM(19,70,556) = 369740


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 495/19, 783/70, 681/556

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 495/19, 783/70, 681/556?

Answer: GCF of Numerators as per given numbers 495/19, 783/70, 681/556 is

GCF of Numerators i.e. for 495,783,681 is 3

LCM of denominators i.e. for 19,70,556 is 369740.

Thus, GCF of Fractions is 3/369740.Finally, GCF of Fractions for 495/19, 783/70, 681/556 is 3/369740.