Greatest Common Factor of 73/76, 77/35, 409/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/76, 77/35, 409/175

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 73/76,77/35,409/175

Given fractions are 73/76,77/35,409/175

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 73,77,409

Greatest Common Factor of Numerators i.e. GCF of 73,77,409 is 1 .

LCM of Denominators means LCM of 76,35,175 as per the given fractions.

LCM of 76,35,175 is 13300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,77,409

GCF of Fractions 73/76,77/35,409/175 is 1/13300

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

Greatest Common Factor of 73,77,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,77,409 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 73,77,409 . The biggest common factor number is the GCF number.
So the greatest common factor 73,77,409 is 1.

Lets's calculate LCM of 76,35,175

5 76, 35, 175
7 76, 7, 35
76, 1, 5

∴ So the LCM of the given numbers is 5 x 7 x 76 x 1 x 5 = 13300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13300

Therefore, the GCF of Fractions 73/76,77/35,409/175 is 1/13300

Least Common Multiple of 76,35,175 with GCF Formula

Least Common Multiple of 76,35,175 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 76,35,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,35,175) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(76,35,175) x common factors =1 x 35 = 35

LCM(76,35,175) = ( 76 × 35 × 175 ) / 35

LCM(76,35,175) = 465500 / 35

LCM(76,35,175) = 13300


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 73/76, 77/35, 409/175

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 73/76, 77/35, 409/175?

Answer: GCF of Numerators as per given numbers 73/76, 77/35, 409/175 is

GCF of Numerators i.e. for 73,77,409 is 1

LCM of denominators i.e. for 76,35,175 is 13300.

Thus, GCF of Fractions is 1/13300.Finally, GCF of Fractions for 73/76, 77/35, 409/175 is 1/13300.