How to Find GCF of 55/262, 11/171, 583/780?

GCF of 55/262, 11/171, 583/780

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 55/262, 11/171, 583/780 i.e 11/5824260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/262, 11/171, 583/780.

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 55/262,11/171,583/780?

Given fractions are 55/262,11/171,583/780

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 55/262,11/171,583/780, numerators are 55,11,583

Denominators are 262,171,780

The GCF of 55,11,583 is 11 .

LCM of 262,171,780 is 5824260.

The greatest common factor of 55/262,11/171,583/780 = [GCF of 55,11,583]/[LCM of 262,171,780]= 11/5824260

Therefore, the GCF of 55/262,11/171,583/780 is 11/5824260.

Greatest Common Factor of 55,11,583

To find the highest common factor of 55,11,583, we have to find the factors of both numbers and list the highest common factor.

The factors of 55 are 1, 5, 11, 55

The factors of 11 are 1, 11

The factors of 583 are 1, 11, 53, 583

The HCF of 55,11,583 is 11.

Lets's calculate GCF of 55,11,583

Greatest Common Factor (GCF) of 55,11,583 By Common Division

11	55, 11, 583
	5, 1, 53

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 55,11,583 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 11

1,11

Now, list down the factors of 583

1,11,53,583

Greatest Common Factor

We found the factors 55,11,583 . The biggest common factor number is the GCF number.
So the greatest common factor 55,11,583 is 11.

Lets's calculate LCM of 262,171,780

Lowest Common Multiple of 262,171,780 using Common Division

2	262, 171, 780
3	131, 171, 390
	131, 57, 130

∴ So the LCM of the given numbers is 2 x 3 x 131 x 57 x 130 = 5824260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5824260

Therefore, the GCF of Fractions 55/262,11/171,583/780 is 11/5824260

Least Common Multiple of 262,171,780 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 262,171,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,171,780) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(262,171,780) x common factors =1 x 6 = 6

LCM(262,171,780) = ( 262 × 171 × 780 ) / 6

LCM(262,171,780) = 34945560 / 6

LCM(262,171,780) = 5824260

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 55/262, 11/171, 583/780

1. What is the HCF of 55,11,583?

The HCF of 55,11,583 is 11

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 55/262, 11/171, 583/780?

Answer: GCF of Numerators as per given numbers 55/262, 11/171, 583/780 is

GCF of Numerators i.e. for 55,11,583 is 11

LCM of denominators i.e. for 262,171,780 is 5824260.

Thus, GCF of Fractions is 11/5824260.Finally, GCF of Fractions for 55/262, 11/171, 583/780 is 11/5824260.