How to Find GCF of 6133/345, 1200/3068?

GCF of 6133/345, 1200/3068

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 6133/345, 1200/3068 i.e 1/1058460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6133/345, 1200/3068.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6133/345,1200/3068?

Given fractions are 6133/345,1200/3068

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 6133/345,1200/3068, numerators are 6133,1200

Denominators are 345,3068

The GCF of 6133,1200 is 1 .

LCM of 345,3068 is 1058460.

The greatest common factor of 6133/345,1200/3068 = [GCF of 6133,1200]/[LCM of 345,3068]= 1/1058460

Therefore, the GCF of 6133/345,1200/3068 is 1/1058460.

Greatest Common Factor of 6133,1200

To find the highest common factor of 6133,1200, we have to find the factors of both numbers and list the highest common factor.

The factors of 6133 are 1, 6133

The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

The HCF of 6133,1200 is 1.

Lets's calculate GCF of 6133,1200

Greatest Common Factor (GCF) of 6133,1200 By Common Division

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

Greatest Common Factor of 6133,1200 By Matching Biggest Common Factor Method

Now, list down the factors of 6133

1,6133

Now, list down the factors of 1200

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 6133,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 6133,1200 is 1.

Lets's calculate LCM of 345,3068

Lowest Common Multiple of 345,3068 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1058460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058460

Therefore, the GCF of Fractions 6133/345,1200/3068 is 1/1058460

Least Common Multiple of 345,3068 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 345,3068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,3068) = 1

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

GCF(345,3068) x common factors =1 x 1 = 1

LCM(345,3068) = ( 345 × 3068 ) / 1

LCM(345,3068) = 1058460 / 1

LCM(345,3068) = 1058460

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6133/345, 1200/3068

1. What is the HCF of 6133,1200?

The HCF of 6133,1200 is 1

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 6133/345, 1200/3068?

Answer: GCF of Numerators as per given numbers 6133/345, 1200/3068 is

GCF of Numerators i.e. for 6133,1200 is 1

LCM of denominators i.e. for 345,3068 is 1058460.

Thus, GCF of Fractions is 1/1058460.Finally, GCF of Fractions for 6133/345, 1200/3068 is 1/1058460.