Greatest Common Factor of 788/53, 416/35, 606/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/53, 416/35, 606/44

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 788/53,416/35,606/44

Given fractions are 788/53,416/35,606/44

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 788,416,606

Greatest Common Factor of Numerators i.e. GCF of 788,416,606 is 2 .

LCM of Denominators means LCM of 53,35,44 as per the given fractions.

LCM of 53,35,44 is 81620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,416,606

GCF of Fractions 788/53,416/35,606/44 is 2/81620

2 788, 416, 606
394, 208, 303

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 788,416,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,416,606 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

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 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 788,416,606 . The biggest common factor number is the GCF number.
So the greatest common factor 788,416,606 is 2.

Lets's calculate LCM of 53,35,44

Given numbers has no common factors except 1. So, there LCM is their product i.e 81620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81620

Therefore, the GCF of Fractions 788/53,416/35,606/44 is 2/81620

Least Common Multiple of 53,35,44 with GCF Formula

Least Common Multiple of 53,35,44 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 53,35,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,35,44) = 1

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

GCF(53,35,44) x common factors =1 x 1 = 1

LCM(53,35,44) = ( 53 × 35 × 44 ) / 1

LCM(53,35,44) = 81620 / 1

LCM(53,35,44) = 81620


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 788/53, 416/35, 606/44

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 788/53, 416/35, 606/44?

Answer: GCF of Numerators as per given numbers 788/53, 416/35, 606/44 is

GCF of Numerators i.e. for 788,416,606 is 2

LCM of denominators i.e. for 53,35,44 is 81620.

Thus, GCF of Fractions is 2/81620.Finally, GCF of Fractions for 788/53, 416/35, 606/44 is 2/81620.