Greatest Common Factor of 160/47, 705/45, 735/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/47, 705/45, 735/49

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 160/47,705/45,735/49

Given fractions are 160/47,705/45,735/49

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 160,705,735

Greatest Common Factor of Numerators i.e. GCF of 160,705,735 is 5 .

LCM of Denominators means LCM of 47,45,49 as per the given fractions.

LCM of 47,45,49 is 103635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,705,735

GCF of Fractions 160/47,705/45,735/49 is 5/103635

5 160, 705, 735
32, 141, 147

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 160,705,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,705,735 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 160,705,735 . The biggest common factor number is the GCF number.
So the greatest common factor 160,705,735 is 5.

Lets's calculate LCM of 47,45,49

Given numbers has no common factors except 1. So, there LCM is their product i.e 103635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/103635

Therefore, the GCF of Fractions 160/47,705/45,735/49 is 5/103635

Least Common Multiple of 47,45,49 with GCF Formula

Least Common Multiple of 47,45,49 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 47,45,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,45,49) = 1

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

GCF(47,45,49) x common factors =1 x 1 = 1

LCM(47,45,49) = ( 47 × 45 × 49 ) / 1

LCM(47,45,49) = 103635 / 1

LCM(47,45,49) = 103635


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 160/47, 705/45, 735/49

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 160/47, 705/45, 735/49?

Answer: GCF of Numerators as per given numbers 160/47, 705/45, 735/49 is

GCF of Numerators i.e. for 160,705,735 is 5

LCM of denominators i.e. for 47,45,49 is 103635.

Thus, GCF of Fractions is 5/103635.Finally, GCF of Fractions for 160/47, 705/45, 735/49 is 5/103635.