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 503/74, 879/574

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 503/74, 879/574 i.e 1/21238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/74, 879/574.

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 503/74,879/574?

Given fractions are 503/74,879/574

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 503/74,879/574, numerators are 503,879

Denominators are 74,574

The GCF of 503,879 is 1 .

LCM of 74,574 is 21238.

The greatest common factor of 503/74,879/574 = [GCF of 503,879]/[LCM of 74,574]= 1/21238

Therefore, the GCF of 503/74,879/574 is 1/21238.

Greatest Common Factor of 503,879

To find the highest common factor of 503,879, we have to find the factors of both numbers and list the highest common factor.

The factors of 503 are 1, 503

The factors of 879 are 1, 3, 293, 879

The HCF of 503,879 is 1.

Lets's calculate GCF of 503,879

Greatest Common Factor (GCF) of 503,879 By Common Division

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

Greatest Common Factor of 503,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,879 By Matching Biggest Common Factor Method

Now, list down the factors of 503

:

1,503

Now, list down the factors of 879

:

1,3,293,879

Greatest Common Factor

We found the factors 503,879 . The biggest common factor number is the GCF number.
So the greatest common factor 503,879 is 1.

Lets's calculate LCM of 74,574

Lowest Common Multiple of 74,574 using Common Division

2 74, 574
37, 287

∴ So the LCM of the given numbers is 2 x 37 x 287 = 21238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21238

Therefore, the GCF of Fractions 503/74,879/574 is 1/21238

Least Common Multiple of 74,574 with GCF Formula

Least Common Multiple of 74,574 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 74,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,574) = 2

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

GCF(74,574) x common factors =2 x 1 = 2

LCM(74,574) = ( 74 × 574 ) / 2

LCM(74,574) = 42476 / 2

LCM(74,574) = 21238


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 503/74, 879/574

1. What is the HCF of 503,879?

The HCF of 503,879 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 503/74, 879/574?

Answer: GCF of Numerators as per given numbers 503/74, 879/574 is

GCF of Numerators i.e. for 503,879 is 1

LCM of denominators i.e. for 74,574 is 21238.

Thus, GCF of Fractions is 1/21238.Finally, GCF of Fractions for 503/74, 879/574 is 1/21238.