GCF of 9660/456, 1835/4922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9660/456, 1835/4922 i.e 5/1122216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9660/456, 1835/4922.
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 9660/456,1835/4922?
Given fractions are 9660/456,1835/4922
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 9660/456,1835/4922, numerators are 9660,1835
Denominators are 456,4922
The GCF of 9660,1835 is 5 .
LCM of 456,4922 is 1122216.
The greatest common factor of 9660/456,1835/4922 = [GCF of 9660,1835]/[LCM of 456,4922]= 5/1122216
Therefore, the GCF of 9660/456,1835/4922 is 5/1122216.
To find the highest common factor of 9660,1835, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1835 are 1, 5, 367, 1835
The HCF of 9660,1835 is 5.
Lets's calculate GCF of 9660,1835
| 5 | 9660, 1835 |
| 1932, 367 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9660,1835 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1835
:1,5,367,1835
Greatest Common Factor
We found the factors 9660,1835 . The biggest common factor number is the GCF number.
So the greatest common factor 9660,1835 is 5.
Lets's calculate LCM of 456,4922
| 2 | 456, 4922 |
| 228, 2461 |
∴ So the LCM of the given numbers is 2 x 228 x 2461 = 1122216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1122216
Therefore, the GCF of Fractions 9660/456,1835/4922 is 5/1122216
Least Common Multiple of 456,4922 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 456,4922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,4922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(456,4922) x common factors =2 x 1 = 2
LCM(456,4922) = ( 456 × 4922 ) / 2
LCM(456,4922) = 2244432 / 2
LCM(456,4922) = 1122216
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FAQs on GCF of Fractions of 9660/456, 1835/4922
1. What is the HCF of 9660,1835?
The HCF of 9660,1835 is 5
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 9660/456, 1835/4922?
Answer: GCF of Numerators as per given numbers 9660/456, 1835/4922 is
GCF of Numerators i.e. for 9660,1835 is 5
LCM of denominators i.e. for 456,4922 is 1122216.
Thus, GCF of Fractions is 5/1122216.Finally, GCF of Fractions for 9660/456, 1835/4922 is 5/1122216.