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GCF of 520/58, 503/370

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 520/58, 503/370 i.e 1/10730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/58, 503/370.

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 520/58,503/370?

Given fractions are 520/58,503/370

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 520/58,503/370, numerators are 520,503

Denominators are 58,370

The GCF of 520,503 is 1 .

LCM of 58,370 is 10730.

The greatest common factor of 520/58,503/370 = [GCF of 520,503]/[LCM of 58,370]= 1/10730

Therefore, the GCF of 520/58,503/370 is 1/10730.

Greatest Common Factor of 520,503

To find the highest common factor of 520,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The factors of 503 are 1, 503

The HCF of 520,503 is 1.

Lets's calculate GCF of 520,503

Greatest Common Factor (GCF) of 520,503 By Common Division

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

Greatest Common Factor of 520,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,503 By Matching Biggest Common Factor Method

Now, list down the factors of 520

:

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 520,503 . The biggest common factor number is the GCF number.
So the greatest common factor 520,503 is 1.

Lets's calculate LCM of 58,370

Lowest Common Multiple of 58,370 using Common Division

2 58, 370
29, 185

∴ So the LCM of the given numbers is 2 x 29 x 185 = 10730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10730

Therefore, the GCF of Fractions 520/58,503/370 is 1/10730

Least Common Multiple of 58,370 with GCF Formula

Least Common Multiple of 58,370 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 58,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,370) = 2

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

GCF(58,370) x common factors =2 x 1 = 2

LCM(58,370) = ( 58 × 370 ) / 2

LCM(58,370) = 21460 / 2

LCM(58,370) = 10730


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FAQs on GCF of Fractions of 520/58, 503/370

1. What is the HCF of 520,503?

The HCF of 520,503 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 520/58, 503/370?

Answer: GCF of Numerators as per given numbers 520/58, 503/370 is

GCF of Numerators i.e. for 520,503 is 1

LCM of denominators i.e. for 58,370 is 10730.

Thus, GCF of Fractions is 1/10730.Finally, GCF of Fractions for 520/58, 503/370 is 1/10730.