How to Find GCF of 53/298, 50/769, 574/177?

GCF of 53/298, 50/769, 574/177

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 53/298, 50/769, 574/177 i.e 1/40561674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/298, 50/769, 574/177.

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 53/298,50/769,574/177?

Given fractions are 53/298,50/769,574/177

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 53/298,50/769,574/177, numerators are 53,50,574

Denominators are 298,769,177

The GCF of 53,50,574 is 1 .

LCM of 298,769,177 is 40561674.

The greatest common factor of 53/298,50/769,574/177 = [GCF of 53,50,574]/[LCM of 298,769,177]= 1/40561674

Therefore, the GCF of 53/298,50/769,574/177 is 1/40561674.

Greatest Common Factor of 53,50,574

To find the highest common factor of 53,50,574, we have to find the factors of both numbers and list the highest common factor.

The factors of 53 are 1, 53

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The HCF of 53,50,574 is 1.

Lets's calculate GCF of 53,50,574

Greatest Common Factor (GCF) of 53,50,574 By Common Division

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

Greatest Common Factor of 53,50,574 By Matching Biggest Common Factor Method

Now, list down the factors of 53

1,53

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 574

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 53,50,574 . The biggest common factor number is the GCF number.
So the greatest common factor 53,50,574 is 1.

Lets's calculate LCM of 298,769,177

Lowest Common Multiple of 298,769,177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 40561674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40561674

Therefore, the GCF of Fractions 53/298,50/769,574/177 is 1/40561674

Least Common Multiple of 298,769,177 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 298,769,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,769,177) = 1

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

GCF(298,769,177) x common factors =1 x 1 = 1

LCM(298,769,177) = ( 298 × 769 × 177 ) / 1

LCM(298,769,177) = 40561674 / 1

LCM(298,769,177) = 40561674

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 53/298, 50/769, 574/177

1. What is the HCF of 53,50,574?

The HCF of 53,50,574 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 53/298, 50/769, 574/177?

Answer: GCF of Numerators as per given numbers 53/298, 50/769, 574/177 is

GCF of Numerators i.e. for 53,50,574 is 1

LCM of denominators i.e. for 298,769,177 is 40561674.

Thus, GCF of Fractions is 1/40561674.Finally, GCF of Fractions for 53/298, 50/769, 574/177 is 1/40561674.