LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 783/984, 797/738

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 783/984, 797/738 i.e 1/2952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/984, 797/738.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 783/984,797/738?

Given fractions are 783/984,797/738

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 783/984,797/738, numerators are 783,797

Denominators are 984,738

The GCF of 783,797 is 1 .

LCM of 984,738 is 2952.

The greatest common factor of 783/984,797/738 = [GCF of 783,797]/[LCM of 984,738]= 1/2952

Therefore, the GCF of 783/984,797/738 is 1/2952.

Greatest Common Factor of 783,797

To find the highest common factor of 783,797, we have to find the factors of both numbers and list the highest common factor.

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The factors of 797 are 1, 797

The HCF of 783,797 is 1.

Lets's calculate GCF of 783,797

Greatest Common Factor (GCF) of 783,797 By Common Division

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

Greatest Common Factor of 783,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,797 By Matching Biggest Common Factor Method

Now, list down the factors of 783

:

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

Now, list down the factors of 797

:

1,797

Greatest Common Factor

We found the factors 783,797 . The biggest common factor number is the GCF number.
So the greatest common factor 783,797 is 1.

Lets's calculate LCM of 984,738

Lowest Common Multiple of 984,738 using Common Division

2 984, 738
3 492, 369
41 164, 123
4, 3

∴ So the LCM of the given numbers is 2 x 3 x 41 x 4 x 3 = 2952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2952

Therefore, the GCF of Fractions 783/984,797/738 is 1/2952

Least Common Multiple of 984,738 with GCF Formula

Least Common Multiple of 984,738 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 984,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,738) = 246

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

GCF(984,738) x common factors =246 x 1 = 246

LCM(984,738) = ( 984 × 738 ) / 246

LCM(984,738) = 726192 / 246

LCM(984,738) = 2952


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 783/984, 797/738

1. What is the HCF of 783,797?

The HCF of 783,797 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 783/984, 797/738?

Answer: GCF of Numerators as per given numbers 783/984, 797/738 is

GCF of Numerators i.e. for 783,797 is 1

LCM of denominators i.e. for 984,738 is 2952.

Thus, GCF of Fractions is 1/2952.Finally, GCF of Fractions for 783/984, 797/738 is 1/2952.