Greatest Common Factor of 416/446, 909/322, 755/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/446, 909/322, 755/776

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 416/446,909/322,755/776

Given fractions are 416/446,909/322,755/776

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 416,909,755

Greatest Common Factor of Numerators i.e. GCF of 416,909,755 is 1 .

LCM of Denominators means LCM of 446,322,776 as per the given fractions.

LCM of 446,322,776 is 27860728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,909,755

GCF of Fractions 416/446,909/322,755/776 is 1/27860728

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

Greatest Common Factor of 416,909,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,909,755 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

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

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 416,909,755 . The biggest common factor number is the GCF number.
So the greatest common factor 416,909,755 is 1.

Lets's calculate LCM of 446,322,776

2 446, 322, 776
223, 161, 388

∴ So the LCM of the given numbers is 2 x 223 x 161 x 388 = 27860728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27860728

Therefore, the GCF of Fractions 416/446,909/322,755/776 is 1/27860728

Least Common Multiple of 446,322,776 with GCF Formula

Least Common Multiple of 446,322,776 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 446,322,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,322,776) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(446,322,776) x common factors =2 x 2 = 4

LCM(446,322,776) = ( 446 × 322 × 776 ) / 4

LCM(446,322,776) = 111442912 / 4

LCM(446,322,776) = 27860728


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 416/446, 909/322, 755/776

1. 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.

2. What is the GCF of Fractions for 416/446, 909/322, 755/776?

Answer: GCF of Numerators as per given numbers 416/446, 909/322, 755/776 is

GCF of Numerators i.e. for 416,909,755 is 1

LCM of denominators i.e. for 446,322,776 is 27860728.

Thus, GCF of Fractions is 1/27860728.Finally, GCF of Fractions for 416/446, 909/322, 755/776 is 1/27860728.