GCF of 1590/410, 8352/9732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1590/410, 8352/9732 i.e 6/1995060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1590/410, 8352/9732.
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 1590/410,8352/9732?
Given fractions are 1590/410,8352/9732
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 1590/410,8352/9732, numerators are 1590,8352
Denominators are 410,9732
The GCF of 1590,8352 is 6 .
LCM of 410,9732 is 1995060.
The greatest common factor of 1590/410,8352/9732 = [GCF of 1590,8352]/[LCM of 410,9732]= 6/1995060
Therefore, the GCF of 1590/410,8352/9732 is 6/1995060.
To find the highest common factor of 1590,8352, we have to find the factors of both numbers and list the highest common factor.
The factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
The factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352
The HCF of 1590,8352 is 6.
Lets's calculate GCF of 1590,8352
| 2 | 1590, 8352 |
| 3 | 795, 4176 |
| 265, 1392 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1590,8352 By Matching Biggest Common Factor Method
Now, list down the factors of 1590
:1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590
Now, list down the factors of 8352
:1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352
Greatest Common Factor
We found the factors 1590,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 1590,8352 is 6.
Lets's calculate LCM of 410,9732
| 2 | 410, 9732 |
| 205, 4866 |
∴ So the LCM of the given numbers is 2 x 205 x 4866 = 1995060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1995060
Therefore, the GCF of Fractions 1590/410,8352/9732 is 6/1995060
Least Common Multiple of 410,9732 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 410,9732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,9732) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,9732) x common factors =2 x 1 = 2
LCM(410,9732) = ( 410 × 9732 ) / 2
LCM(410,9732) = 3990120 / 2
LCM(410,9732) = 1995060
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FAQs on GCF of Fractions of 1590/410, 8352/9732
1. What is the HCF of 1590,8352?
The HCF of 1590,8352 is 6
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 1590/410, 8352/9732?
Answer: GCF of Numerators as per given numbers 1590/410, 8352/9732 is
GCF of Numerators i.e. for 1590,8352 is 6
LCM of denominators i.e. for 410,9732 is 1995060.
Thus, GCF of Fractions is 6/1995060.Finally, GCF of Fractions for 1590/410, 8352/9732 is 6/1995060.