GCF of 5352/790, 2427/372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5352/790, 2427/372 i.e 3/146940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5352/790, 2427/372.
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 5352/790,2427/372?
Given fractions are 5352/790,2427/372
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 5352/790,2427/372, numerators are 5352,2427
Denominators are 790,372
The GCF of 5352,2427 is 3 .
LCM of 790,372 is 146940.
The greatest common factor of 5352/790,2427/372 = [GCF of 5352,2427]/[LCM of 790,372]= 3/146940
Therefore, the GCF of 5352/790,2427/372 is 3/146940.
To find the highest common factor of 5352,2427, we have to find the factors of both numbers and list the highest common factor.
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The factors of 2427 are 1, 3, 809, 2427
The HCF of 5352,2427 is 3.
Lets's calculate GCF of 5352,2427
| 3 | 5352, 2427 |
| 1784, 809 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5352,2427 By Matching Biggest Common Factor Method
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Now, list down the factors of 2427
:1,3,809,2427
Greatest Common Factor
We found the factors 5352,2427 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,2427 is 3.
Lets's calculate LCM of 790,372
| 2 | 790, 372 |
| 395, 186 |
∴ So the LCM of the given numbers is 2 x 395 x 186 = 146940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/146940
Therefore, the GCF of Fractions 5352/790,2427/372 is 3/146940
Least Common Multiple of 790,372 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 790,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,372) x common factors =2 x 1 = 2
LCM(790,372) = ( 790 × 372 ) / 2
LCM(790,372) = 293880 / 2
LCM(790,372) = 146940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5352/790, 2427/372
1. What is the HCF of 5352,2427?
The HCF of 5352,2427 is 3
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 5352/790, 2427/372?
Answer: GCF of Numerators as per given numbers 5352/790, 2427/372 is
GCF of Numerators i.e. for 5352,2427 is 3
LCM of denominators i.e. for 790,372 is 146940.
Thus, GCF of Fractions is 3/146940.Finally, GCF of Fractions for 5352/790, 2427/372 is 3/146940.