GCF of 7588/784, 7364/3530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7588/784, 7364/3530 i.e 28/1383760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7588/784, 7364/3530.
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 7588/784,7364/3530?
Given fractions are 7588/784,7364/3530
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 7588/784,7364/3530, numerators are 7588,7364
Denominators are 784,3530
The GCF of 7588,7364 is 28 .
LCM of 784,3530 is 1383760.
The greatest common factor of 7588/784,7364/3530 = [GCF of 7588,7364]/[LCM of 784,3530]= 28/1383760
Therefore, the GCF of 7588/784,7364/3530 is 28/1383760.
To find the highest common factor of 7588,7364, we have to find the factors of both numbers and list the highest common factor.
The factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588
The factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364
The HCF of 7588,7364 is 28.
Lets's calculate GCF of 7588,7364
| 2 | 7588, 7364 |
| 2 | 3794, 3682 |
| 7 | 1897, 1841 |
| 271, 263 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7588,7364 By Matching Biggest Common Factor Method
Now, list down the factors of 7588
:1,2,4,7,14,28,271,542,1084,1897,3794,7588
Now, list down the factors of 7364
:1,2,4,7,14,28,263,526,1052,1841,3682,7364
Greatest Common Factor
We found the factors 7588,7364 . The biggest common factor number is the GCF number.
So the greatest common factor 7588,7364 is 28.
Lets's calculate LCM of 784,3530
| 2 | 784, 3530 |
| 392, 1765 |
∴ So the LCM of the given numbers is 2 x 392 x 1765 = 1383760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1383760
Therefore, the GCF of Fractions 7588/784,7364/3530 is 28/1383760
Least Common Multiple of 784,3530 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 784,3530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,3530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,3530) x common factors =2 x 1 = 2
LCM(784,3530) = ( 784 × 3530 ) / 2
LCM(784,3530) = 2767520 / 2
LCM(784,3530) = 1383760
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FAQs on GCF of Fractions of 7588/784, 7364/3530
1. What is the HCF of 7588,7364?
The HCF of 7588,7364 is 28
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 7588/784, 7364/3530?
Answer: GCF of Numerators as per given numbers 7588/784, 7364/3530 is
GCF of Numerators i.e. for 7588,7364 is 28
LCM of denominators i.e. for 784,3530 is 1383760.
Thus, GCF of Fractions is 28/1383760.Finally, GCF of Fractions for 7588/784, 7364/3530 is 28/1383760.