How to Find GCF of 10/58, 421/31, 502/528?

GCF of 10/58, 421/31, 502/528

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 10/58, 421/31, 502/528 i.e 1/474672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/58, 421/31, 502/528.

Enter two or more fractions separated by "commas"

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

What is the GCF of 10/58,421/31,502/528?

Given fractions are 10/58,421/31,502/528

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 10/58,421/31,502/528, numerators are 10,421,502

Denominators are 58,31,528

The GCF of 10,421,502 is 1 .

LCM of 58,31,528 is 474672.

The greatest common factor of 10/58,421/31,502/528 = [GCF of 10,421,502]/[LCM of 58,31,528]= 1/474672

Therefore, the GCF of 10/58,421/31,502/528 is 1/474672.

Greatest Common Factor of 10,421,502

To find the highest common factor of 10,421,502, we have to find the factors of both numbers and list the highest common factor.

The factors of 10 are 1, 2, 5, 10

The factors of 421 are 1, 421

The factors of 502 are 1, 2, 251, 502

The HCF of 10,421,502 is 1.

Lets's calculate GCF of 10,421,502

Greatest Common Factor (GCF) of 10,421,502 By Common Division

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

Greatest Common Factor of 10,421,502 By Matching Biggest Common Factor Method

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 421

1,421

Now, list down the factors of 502

1,2,251,502

Greatest Common Factor

We found the factors 10,421,502 . The biggest common factor number is the GCF number.
So the greatest common factor 10,421,502 is 1.

Lets's calculate LCM of 58,31,528

Lowest Common Multiple of 58,31,528 using Common Division

2	58, 31, 528
	29, 31, 264

∴ So the LCM of the given numbers is 2 x 29 x 31 x 264 = 474672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474672

Therefore, the GCF of Fractions 10/58,421/31,502/528 is 1/474672

Least Common Multiple of 58,31,528 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,31,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,31,528) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,31,528) x common factors =1 x 2 = 2

LCM(58,31,528) = ( 58 × 31 × 528 ) / 2

LCM(58,31,528) = 949344 / 2

LCM(58,31,528) = 474672

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 10/58, 421/31, 502/528

1. What is the HCF of 10,421,502?

The HCF of 10,421,502 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 10/58, 421/31, 502/528?

Answer: GCF of Numerators as per given numbers 10/58, 421/31, 502/528 is

GCF of Numerators i.e. for 10,421,502 is 1

LCM of denominators i.e. for 58,31,528 is 474672.

Thus, GCF of Fractions is 1/474672.Finally, GCF of Fractions for 10/58, 421/31, 502/528 is 1/474672.