Greatest Common Factor of 700/470, 4160/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/470, 4160/355

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 700/470,4160/355

Given fractions are 700/470,4160/355

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 700,4160

Greatest Common Factor of Numerators i.e. GCF of 700,4160 is 20 .

LCM of Denominators means LCM of 470,355 as per the given fractions.

LCM of 470,355 is 33370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,4160

GCF of Fractions 700/470,4160/355 is 20/33370

2 700, 4160
2 350, 2080
5 175, 1040
35, 208

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

Greatest Common Factor of 700,4160 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,4160 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Greatest Common Factor

We found the factors 700,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 700,4160 is 20.

Lets's calculate LCM of 470,355

5 470, 355
94, 71

∴ So the LCM of the given numbers is 5 x 94 x 71 = 33370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/33370

Therefore, the GCF of Fractions 700/470,4160/355 is 20/33370

Least Common Multiple of 470,355 with GCF Formula

Least Common Multiple of 470,355 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 470,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,355) = 5

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

GCF(470,355) x common factors =5 x 1 = 5

LCM(470,355) = ( 470 × 355 ) / 5

LCM(470,355) = 166850 / 5

LCM(470,355) = 33370


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 700/470, 4160/355

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 700/470, 4160/355?

Answer: GCF of Numerators as per given numbers 700/470, 4160/355 is

GCF of Numerators i.e. for 700,4160 is 20

LCM of denominators i.e. for 470,355 is 33370.

Thus, GCF of Fractions is 20/33370.Finally, GCF of Fractions for 700/470, 4160/355 is 20/33370.