Greatest Common Factor of 3400/473, 5600/7140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3400/473, 5600/7140

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 3400/473,5600/7140

Given fractions are 3400/473,5600/7140

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 3400,5600

Greatest Common Factor of Numerators i.e. GCF of 3400,5600 is 200 .

LCM of Denominators means LCM of 473,7140 as per the given fractions.

LCM of 473,7140 is 3377220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3400,5600

GCF of Fractions 3400/473,5600/7140 is 200/3377220

2 3400, 5600
2 1700, 2800
2 850, 1400
5 425, 700
5 85, 140
17, 28

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 5 = 200

Greatest Common Factor of 3400,5600 By Matching Biggest Common Factor Method

Greatest Common Factor of 3400,5600 By Matching Biggest Common Factor Method

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Greatest Common Factor

We found the factors 3400,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 3400,5600 is 200.

Lets's calculate LCM of 473,7140

Given numbers has no common factors except 1. So, there LCM is their product i.e 3377220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 200/3377220

Therefore, the GCF of Fractions 3400/473,5600/7140 is 200/3377220

Least Common Multiple of 473,7140 with GCF Formula

Least Common Multiple of 473,7140 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 473,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,7140) = 1

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

GCF(473,7140) x common factors =1 x 1 = 1

LCM(473,7140) = ( 473 × 7140 ) / 1

LCM(473,7140) = 3377220 / 1

LCM(473,7140) = 3377220


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 3400/473, 5600/7140

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 3400/473, 5600/7140?

Answer: GCF of Numerators as per given numbers 3400/473, 5600/7140 is

GCF of Numerators i.e. for 3400,5600 is 200

LCM of denominators i.e. for 473,7140 is 3377220.

Thus, GCF of Fractions is 200/3377220.Finally, GCF of Fractions for 3400/473, 5600/7140 is 200/3377220.