GCF of 1623/835, 9660/3130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1623/835, 9660/3130 i.e 3/522710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1623/835, 9660/3130.
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 1623/835,9660/3130?
Given fractions are 1623/835,9660/3130
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 1623/835,9660/3130, numerators are 1623,9660
Denominators are 835,3130
The GCF of 1623,9660 is 3 .
LCM of 835,3130 is 522710.
The greatest common factor of 1623/835,9660/3130 = [GCF of 1623,9660]/[LCM of 835,3130]= 3/522710
Therefore, the GCF of 1623/835,9660/3130 is 3/522710.
To find the highest common factor of 1623,9660, we have to find the factors of both numbers and list the highest common factor.
The factors of 1623 are 1, 3, 541, 1623
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The HCF of 1623,9660 is 3.
Lets's calculate GCF of 1623,9660
| 3 | 1623, 9660 |
| 541, 3220 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1623,9660 By Matching Biggest Common Factor Method
Now, list down the factors of 1623
:1,3,541,1623
Now, list down the factors of 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Greatest Common Factor
We found the factors 1623,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 1623,9660 is 3.
Lets's calculate LCM of 835,3130
| 5 | 835, 3130 |
| 167, 626 |
∴ So the LCM of the given numbers is 5 x 167 x 626 = 522710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/522710
Therefore, the GCF of Fractions 1623/835,9660/3130 is 3/522710
Least Common Multiple of 835,3130 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 835,3130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,3130) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,3130) x common factors =5 x 1 = 5
LCM(835,3130) = ( 835 × 3130 ) / 5
LCM(835,3130) = 2613550 / 5
LCM(835,3130) = 522710
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FAQs on GCF of Fractions of 1623/835, 9660/3130
1. What is the HCF of 1623,9660?
The HCF of 1623,9660 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 1623/835, 9660/3130?
Answer: GCF of Numerators as per given numbers 1623/835, 9660/3130 is
GCF of Numerators i.e. for 1623,9660 is 3
LCM of denominators i.e. for 835,3130 is 522710.
Thus, GCF of Fractions is 3/522710.Finally, GCF of Fractions for 1623/835, 9660/3130 is 3/522710.