GCF of 9670/842, 9825/3672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9670/842, 9825/3672 i.e 5/1545912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9670/842, 9825/3672.
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 9670/842,9825/3672?
Given fractions are 9670/842,9825/3672
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 9670/842,9825/3672, numerators are 9670,9825
Denominators are 842,3672
The GCF of 9670,9825 is 5 .
LCM of 842,3672 is 1545912.
The greatest common factor of 9670/842,9825/3672 = [GCF of 9670,9825]/[LCM of 842,3672]= 5/1545912
Therefore, the GCF of 9670/842,9825/3672 is 5/1545912.
To find the highest common factor of 9670,9825, we have to find the factors of both numbers and list the highest common factor.
The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The HCF of 9670,9825 is 5.
Lets's calculate GCF of 9670,9825
| 5 | 9670, 9825 |
| 1934, 1965 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9670,9825 By Matching Biggest Common Factor Method
Now, list down the factors of 9670
:1,2,5,10,967,1934,4835,9670
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors 9670,9825 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,9825 is 5.
Lets's calculate LCM of 842,3672
| 2 | 842, 3672 |
| 421, 1836 |
∴ So the LCM of the given numbers is 2 x 421 x 1836 = 1545912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1545912
Therefore, the GCF of Fractions 9670/842,9825/3672 is 5/1545912
Least Common Multiple of 842,3672 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 842,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,3672) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,3672) x common factors =2 x 1 = 2
LCM(842,3672) = ( 842 × 3672 ) / 2
LCM(842,3672) = 3091824 / 2
LCM(842,3672) = 1545912
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FAQs on GCF of Fractions of 9670/842, 9825/3672
1. What is the HCF of 9670,9825?
The HCF of 9670,9825 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 9670/842, 9825/3672?
Answer: GCF of Numerators as per given numbers 9670/842, 9825/3672 is
GCF of Numerators i.e. for 9670,9825 is 5
LCM of denominators i.e. for 842,3672 is 1545912.
Thus, GCF of Fractions is 5/1545912.Finally, GCF of Fractions for 9670/842, 9825/3672 is 5/1545912.