How to Find GCF of 23/60, 503/28, 349/419?

GCF of 23/60, 503/28, 349/419

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 23/60, 503/28, 349/419 i.e 1/175980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/60, 503/28, 349/419.

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 23/60,503/28,349/419?

Given fractions are 23/60,503/28,349/419

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 23/60,503/28,349/419, numerators are 23,503,349

Denominators are 60,28,419

The GCF of 23,503,349 is 1 .

LCM of 60,28,419 is 175980.

The greatest common factor of 23/60,503/28,349/419 = [GCF of 23,503,349]/[LCM of 60,28,419]= 1/175980

Therefore, the GCF of 23/60,503/28,349/419 is 1/175980.

Greatest Common Factor of 23,503,349

To find the highest common factor of 23,503,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 503 are 1, 503

The factors of 349 are 1, 349

The HCF of 23,503,349 is 1.

Lets's calculate GCF of 23,503,349

Greatest Common Factor (GCF) of 23,503,349 By Common Division

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

Greatest Common Factor of 23,503,349 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 503

1,503

Now, list down the factors of 349

1,349

Greatest Common Factor

We found the factors 23,503,349 . The biggest common factor number is the GCF number.
So the greatest common factor 23,503,349 is 1.

Lets's calculate LCM of 60,28,419

Lowest Common Multiple of 60,28,419 using Common Division

2	60, 28, 419
2	30, 14, 419
	15, 7, 419

∴ So the LCM of the given numbers is 2 x 2 x 15 x 7 x 419 = 175980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175980

Therefore, the GCF of Fractions 23/60,503/28,349/419 is 1/175980

Least Common Multiple of 60,28,419 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 60,28,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,28,419) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,28,419) x common factors =1 x 4 = 4

LCM(60,28,419) = ( 60 × 28 × 419 ) / 4

LCM(60,28,419) = 703920 / 4

LCM(60,28,419) = 175980

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 23/60, 503/28, 349/419

1. What is the HCF of 23,503,349?

The HCF of 23,503,349 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 23/60, 503/28, 349/419?

Answer: GCF of Numerators as per given numbers 23/60, 503/28, 349/419 is

GCF of Numerators i.e. for 23,503,349 is 1

LCM of denominators i.e. for 60,28,419 is 175980.

Thus, GCF of Fractions is 1/175980.Finally, GCF of Fractions for 23/60, 503/28, 349/419 is 1/175980.