Greatest Common Factor of 4/20, 61/16, 65/619, 176/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/20, 61/16, 65/619, 176/719

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 4/20,61/16,65/619,176/719

Given fractions are 4/20,61/16,65/619,176/719

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 4,61,65,176

Greatest Common Factor of Numerators i.e. GCF of 4,61,65,176 is 1 .

LCM of Denominators means LCM of 20,16,619,719 as per the given fractions.

LCM of 20,16,619,719 is 35604880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,61,65,176

GCF of Fractions 4/20,61/16,65/619,176/719 is 1/35604880

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

Greatest Common Factor of 4,61,65,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,61,65,176 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 4,61,65,176 . The biggest common factor number is the GCF number.
So the greatest common factor 4,61,65,176 is 1.

Lets's calculate LCM of 20,16,619,719

2 20, 16, 619, 719
2 10, 8, 619, 719
5, 4, 619, 719

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 619 x 719 = 35604880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35604880

Therefore, the GCF of Fractions 4/20,61/16,65/619,176/719 is 1/35604880

Least Common Multiple of 20,16,619,719 with GCF Formula

Least Common Multiple of 20,16,619,719 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 20,16,619,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,16,619,719) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,16,619,719) x common factors =1 x 4 = 4

LCM(20,16,619,719) = ( 20 × 16 × 619 × 719 ) / 4

LCM(20,16,619,719) = 142419520 / 4

LCM(20,16,619,719) = 35604880


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 4/20, 61/16, 65/619, 176/719

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 4/20, 61/16, 65/619, 176/719?

Answer: GCF of Numerators as per given numbers 4/20, 61/16, 65/619, 176/719 is

GCF of Numerators i.e. for 4,61,65,176 is 1

LCM of denominators i.e. for 20,16,619,719 is 35604880.

Thus, GCF of Fractions is 1/35604880.Finally, GCF of Fractions for 4/20, 61/16, 65/619, 176/719 is 1/35604880.