How to Find GCF of 55/408, 67/205, 879/645?

GCF of 55/408, 67/205, 879/645

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 55/408, 67/205, 879/645 i.e 1/3596520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/408, 67/205, 879/645.

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 55/408,67/205,879/645?

Given fractions are 55/408,67/205,879/645

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 55/408,67/205,879/645, numerators are 55,67,879

Denominators are 408,205,645

The GCF of 55,67,879 is 1 .

LCM of 408,205,645 is 3596520.

The greatest common factor of 55/408,67/205,879/645 = [GCF of 55,67,879]/[LCM of 408,205,645]= 1/3596520

Therefore, the GCF of 55/408,67/205,879/645 is 1/3596520.

Greatest Common Factor of 55,67,879

To find the highest common factor of 55,67,879, 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 67 are 1, 67

The factors of 879 are 1, 3, 293, 879

The HCF of 55,67,879 is 1.

Lets's calculate GCF of 55,67,879

Greatest Common Factor (GCF) of 55,67,879 By Common Division

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

Greatest Common Factor of 55,67,879 By Matching Biggest Common Factor Method

Now, list down the factors of 55

1,5,11,55

Now, list down the factors of 67

1,67

Now, list down the factors of 879

1,3,293,879

Greatest Common Factor

We found the factors 55,67,879 . The biggest common factor number is the GCF number.
So the greatest common factor 55,67,879 is 1.

Lets's calculate LCM of 408,205,645

Lowest Common Multiple of 408,205,645 using Common Division

3	408, 205, 645
5	136, 205, 215
	136, 41, 43

∴ So the LCM of the given numbers is 3 x 5 x 136 x 41 x 43 = 3596520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3596520

Therefore, the GCF of Fractions 55/408,67/205,879/645 is 1/3596520

Least Common Multiple of 408,205,645 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 408,205,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,205,645) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(408,205,645) x common factors =1 x 15 = 15

LCM(408,205,645) = ( 408 × 205 × 645 ) / 15

LCM(408,205,645) = 53947800 / 15

LCM(408,205,645) = 3596520

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 55/408, 67/205, 879/645

1. What is the HCF of 55,67,879?

The HCF of 55,67,879 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 55/408, 67/205, 879/645?

Answer: GCF of Numerators as per given numbers 55/408, 67/205, 879/645 is

GCF of Numerators i.e. for 55,67,879 is 1

LCM of denominators i.e. for 408,205,645 is 3596520.

Thus, GCF of Fractions is 1/3596520.Finally, GCF of Fractions for 55/408, 67/205, 879/645 is 1/3596520.