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 583/78, 418/1756

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 583/78, 418/1756 i.e 11/68484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/78, 418/1756.

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 583/78,418/1756?

Given fractions are 583/78,418/1756

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 583/78,418/1756, numerators are 583,418

Denominators are 78,1756

The GCF of 583,418 is 11 .

LCM of 78,1756 is 68484.

The greatest common factor of 583/78,418/1756 = [GCF of 583,418]/[LCM of 78,1756]= 11/68484

Therefore, the GCF of 583/78,418/1756 is 11/68484.

Greatest Common Factor of 583,418

To find the highest common factor of 583,418, we have to find the factors of both numbers and list the highest common factor.

The factors of 583 are 1, 11, 53, 583

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The HCF of 583,418 is 11.

Lets's calculate GCF of 583,418

Greatest Common Factor (GCF) of 583,418 By Common Division

11 583, 418
53, 38

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 583,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,418 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 583,418 . The biggest common factor number is the GCF number.
So the greatest common factor 583,418 is 11.

Lets's calculate LCM of 78,1756

Lowest Common Multiple of 78,1756 using Common Division

2 78, 1756
39, 878

∴ So the LCM of the given numbers is 2 x 39 x 878 = 68484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/68484

Therefore, the GCF of Fractions 583/78,418/1756 is 11/68484

Least Common Multiple of 78,1756 with GCF Formula

Least Common Multiple of 78,1756 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 78,1756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,1756) = 2

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

GCF(78,1756) x common factors =2 x 1 = 2

LCM(78,1756) = ( 78 × 1756 ) / 2

LCM(78,1756) = 136968 / 2

LCM(78,1756) = 68484


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 583/78, 418/1756

1. What is the HCF of 583,418?

The HCF of 583,418 is 11

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 583/78, 418/1756?

Answer: GCF of Numerators as per given numbers 583/78, 418/1756 is

GCF of Numerators i.e. for 583,418 is 11

LCM of denominators i.e. for 78,1756 is 68484.

Thus, GCF of Fractions is 11/68484.Finally, GCF of Fractions for 583/78, 418/1756 is 11/68484.