GCF of 3590/652, 3582/7922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3590/652, 3582/7922 i.e 2/2582572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3590/652, 3582/7922.
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 3590/652,3582/7922?
Given fractions are 3590/652,3582/7922
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 3590/652,3582/7922, numerators are 3590,3582
Denominators are 652,7922
The GCF of 3590,3582 is 2 .
LCM of 652,7922 is 2582572.
The greatest common factor of 3590/652,3582/7922 = [GCF of 3590,3582]/[LCM of 652,7922]= 2/2582572
Therefore, the GCF of 3590/652,3582/7922 is 2/2582572.
To find the highest common factor of 3590,3582, we have to find the factors of both numbers and list the highest common factor.
The factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The HCF of 3590,3582 is 2.
Lets's calculate GCF of 3590,3582
| 2 | 3590, 3582 |
| 1795, 1791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3590,3582 By Matching Biggest Common Factor Method
Now, list down the factors of 3590
:1,2,5,10,359,718,1795,3590
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Greatest Common Factor
We found the factors 3590,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,3582 is 2.
Lets's calculate LCM of 652,7922
| 2 | 652, 7922 |
| 326, 3961 |
∴ So the LCM of the given numbers is 2 x 326 x 3961 = 2582572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2582572
Therefore, the GCF of Fractions 3590/652,3582/7922 is 2/2582572
Least Common Multiple of 652,7922 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 652,7922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,7922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,7922) x common factors =2 x 1 = 2
LCM(652,7922) = ( 652 × 7922 ) / 2
LCM(652,7922) = 5165144 / 2
LCM(652,7922) = 2582572
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FAQs on GCF of Fractions of 3590/652, 3582/7922
1. What is the HCF of 3590,3582?
The HCF of 3590,3582 is 2
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 3590/652, 3582/7922?
Answer: GCF of Numerators as per given numbers 3590/652, 3582/7922 is
GCF of Numerators i.e. for 3590,3582 is 2
LCM of denominators i.e. for 652,7922 is 2582572.
Thus, GCF of Fractions is 2/2582572.Finally, GCF of Fractions for 3590/652, 3582/7922 is 2/2582572.