How to Find GCF of 25/660, 427/666, 416/555?

GCF of 25/660, 427/666, 416/555

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 25/660, 427/666, 416/555 i.e 1/73260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/660, 427/666, 416/555.

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 25/660,427/666,416/555?

Given fractions are 25/660,427/666,416/555

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 25/660,427/666,416/555, numerators are 25,427,416

Denominators are 660,666,555

The GCF of 25,427,416 is 1 .

LCM of 660,666,555 is 73260.

The greatest common factor of 25/660,427/666,416/555 = [GCF of 25,427,416]/[LCM of 660,666,555]= 1/73260

Therefore, the GCF of 25/660,427/666,416/555 is 1/73260.

Greatest Common Factor of 25,427,416

To find the highest common factor of 25,427,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 25 are 1, 5, 25

The factors of 427 are 1, 7, 61, 427

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 25,427,416 is 1.

Lets's calculate GCF of 25,427,416

Greatest Common Factor (GCF) of 25,427,416 By Common Division

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

Greatest Common Factor of 25,427,416 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 427

1,7,61,427

Now, list down the factors of 416

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 25,427,416 . The biggest common factor number is the GCF number.
So the greatest common factor 25,427,416 is 1.

Lets's calculate LCM of 660,666,555

Lowest Common Multiple of 660,666,555 using Common Division

2	660, 666, 555
3	330, 333, 555
5	110, 111, 185
37	22, 111, 37
	22, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 22 x 3 x 1 = 73260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73260

Therefore, the GCF of Fractions 25/660,427/666,416/555 is 1/73260

Least Common Multiple of 660,666,555 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 660,666,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,666,555) = 3

common factors(in case of two or more numbers have common factors) = 1110

GCF(660,666,555) x common factors =3 x 1110 = 3330

LCM(660,666,555) = ( 660 × 666 × 555 ) / 3330

LCM(660,666,555) = 243955800 / 3330

LCM(660,666,555) = 73260

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 25/660, 427/666, 416/555

1. What is the HCF of 25,427,416?

The HCF of 25,427,416 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 25/660, 427/666, 416/555?

Answer: GCF of Numerators as per given numbers 25/660, 427/666, 416/555 is

GCF of Numerators i.e. for 25,427,416 is 1

LCM of denominators i.e. for 660,666,555 is 73260.

Thus, GCF of Fractions is 1/73260.Finally, GCF of Fractions for 25/660, 427/666, 416/555 is 1/73260.