LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 160/47, 620/617

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 160/47, 620/617 i.e 20/28999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 160/47, 620/617.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 160/47,620/617?

Given fractions are 160/47,620/617

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 160/47,620/617, numerators are 160,620

Denominators are 47,617

The GCF of 160,620 is 20 .

LCM of 47,617 is 28999.

The greatest common factor of 160/47,620/617 = [GCF of 160,620]/[LCM of 47,617]= 20/28999

Therefore, the GCF of 160/47,620/617 is 20/28999.

Greatest Common Factor of 160,620

To find the highest common factor of 160,620, we have to find the factors of both numbers and list the highest common factor.

The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 160,620 is 20.

Lets's calculate GCF of 160,620

Greatest Common Factor (GCF) of 160,620 By Common Division

2 160, 620
2 80, 310
5 40, 155
8, 31

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 160,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,620 By Matching Biggest Common Factor Method

Now, list down the factors of 160

:

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

Now, list down the factors of 620

:

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 160,620 . The biggest common factor number is the GCF number.
So the greatest common factor 160,620 is 20.

Lets's calculate LCM of 47,617

Lowest Common Multiple of 47,617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28999

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/28999

Therefore, the GCF of Fractions 160/47,620/617 is 20/28999

Least Common Multiple of 47,617 with GCF Formula

Least Common Multiple of 47,617 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 47,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,617) = 1

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

GCF(47,617) x common factors =1 x 1 = 1

LCM(47,617) = ( 47 × 617 ) / 1

LCM(47,617) = 28999 / 1

LCM(47,617) = 28999


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 160/47, 620/617

1. What is the HCF of 160,620?

The HCF of 160,620 is 20

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 160/47, 620/617?

Answer: GCF of Numerators as per given numbers 160/47, 620/617 is

GCF of Numerators i.e. for 160,620 is 20

LCM of denominators i.e. for 47,617 is 28999.

Thus, GCF of Fractions is 20/28999.Finally, GCF of Fractions for 160/47, 620/617 is 20/28999.