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GCF of 720/42, 503/488

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 720/42, 503/488 i.e 1/10248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/42, 503/488.

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 720/42,503/488?

Given fractions are 720/42,503/488

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 720/42,503/488, numerators are 720,503

Denominators are 42,488

The GCF of 720,503 is 1 .

LCM of 42,488 is 10248.

The greatest common factor of 720/42,503/488 = [GCF of 720,503]/[LCM of 42,488]= 1/10248

Therefore, the GCF of 720/42,503/488 is 1/10248.

Greatest Common Factor of 720,503

To find the highest common factor of 720,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

The factors of 503 are 1, 503

The HCF of 720,503 is 1.

Lets's calculate GCF of 720,503

Greatest Common Factor (GCF) of 720,503 By Common Division

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

Greatest Common Factor of 720,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,503 By Matching Biggest Common Factor Method

Now, list down the factors of 720

:

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 720,503 . The biggest common factor number is the GCF number.
So the greatest common factor 720,503 is 1.


Lets's calculate LCM of 42,488

Lowest Common Multiple of 42,488 using Common Division

2 42, 488
21, 244

∴ So the LCM of the given numbers is 2 x 21 x 244 = 10248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10248

Therefore, the GCF of Fractions 720/42,503/488 is 1/10248

Least Common Multiple of 42,488 with GCF Formula

Least Common Multiple of 42,488 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 42,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,488) = 2

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

GCF(42,488) x common factors =2 x 1 = 2

LCM(42,488) = ( 42 × 488 ) / 2

LCM(42,488) = 20496 / 2

LCM(42,488) = 10248


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 720/42, 503/488

1. What is the HCF of 720,503?

The HCF of 720,503 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 720/42, 503/488?

Answer: GCF of Numerators as per given numbers 720/42, 503/488 is

GCF of Numerators i.e. for 720,503 is 1

LCM of denominators i.e. for 42,488 is 10248.

Thus, GCF of Fractions is 1/10248.Finally, GCF of Fractions for 720/42, 503/488 is 1/10248.