GCF of 1568/572, 9093/2582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1568/572, 9093/2582 i.e 7/738452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/572, 9093/2582.
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 1568/572,9093/2582?
Given fractions are 1568/572,9093/2582
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 1568/572,9093/2582, numerators are 1568,9093
Denominators are 572,2582
The GCF of 1568,9093 is 7 .
LCM of 572,2582 is 738452.
The greatest common factor of 1568/572,9093/2582 = [GCF of 1568,9093]/[LCM of 572,2582]= 7/738452
Therefore, the GCF of 1568/572,9093/2582 is 7/738452.
To find the highest common factor of 1568,9093, we have to find the factors of both numbers and list the highest common factor.
The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568
The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093
The HCF of 1568,9093 is 7.
Lets's calculate GCF of 1568,9093
| 7 | 1568, 9093 |
| 224, 1299 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1568,9093 By Matching Biggest Common Factor Method
Now, list down the factors of 1568
:1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568
Now, list down the factors of 9093
:1,3,7,21,433,1299,3031,9093
Greatest Common Factor
We found the factors 1568,9093 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,9093 is 7.
Lets's calculate LCM of 572,2582
| 2 | 572, 2582 |
| 286, 1291 |
∴ So the LCM of the given numbers is 2 x 286 x 1291 = 738452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/738452
Therefore, the GCF of Fractions 1568/572,9093/2582 is 7/738452
Least Common Multiple of 572,2582 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 572,2582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,2582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,2582) x common factors =2 x 1 = 2
LCM(572,2582) = ( 572 × 2582 ) / 2
LCM(572,2582) = 1476904 / 2
LCM(572,2582) = 738452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1568/572, 9093/2582
1. What is the HCF of 1568,9093?
The HCF of 1568,9093 is 7
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 1568/572, 9093/2582?
Answer: GCF of Numerators as per given numbers 1568/572, 9093/2582 is
GCF of Numerators i.e. for 1568,9093 is 7
LCM of denominators i.e. for 572,2582 is 738452.
Thus, GCF of Fractions is 7/738452.Finally, GCF of Fractions for 1568/572, 9093/2582 is 7/738452.