GCF of 3820/207, 9422/1032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3820/207, 9422/1032 i.e 2/71208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3820/207, 9422/1032.
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 3820/207,9422/1032?
Given fractions are 3820/207,9422/1032
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 3820/207,9422/1032, numerators are 3820,9422
Denominators are 207,1032
The GCF of 3820,9422 is 2 .
LCM of 207,1032 is 71208.
The greatest common factor of 3820/207,9422/1032 = [GCF of 3820,9422]/[LCM of 207,1032]= 2/71208
Therefore, the GCF of 3820/207,9422/1032 is 2/71208.
To find the highest common factor of 3820,9422, we have to find the factors of both numbers and list the highest common factor.
The factors of 3820 are 1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910, 3820
The factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422
The HCF of 3820,9422 is 2.
Lets's calculate GCF of 3820,9422
| 2 | 3820, 9422 |
| 1910, 4711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3820,9422 By Matching Biggest Common Factor Method
Now, list down the factors of 3820
:1,2,4,5,10,20,191,382,764,955,1910,3820
Now, list down the factors of 9422
:1,2,7,14,673,1346,4711,9422
Greatest Common Factor
We found the factors 3820,9422 . The biggest common factor number is the GCF number.
So the greatest common factor 3820,9422 is 2.
Lets's calculate LCM of 207,1032
| 3 | 207, 1032 |
| 69, 344 |
∴ So the LCM of the given numbers is 3 x 69 x 344 = 71208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71208
Therefore, the GCF of Fractions 3820/207,9422/1032 is 2/71208
Least Common Multiple of 207,1032 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 207,1032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,1032) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,1032) x common factors =3 x 1 = 3
LCM(207,1032) = ( 207 × 1032 ) / 3
LCM(207,1032) = 213624 / 3
LCM(207,1032) = 71208
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FAQs on GCF of Fractions of 3820/207, 9422/1032
1. What is the HCF of 3820,9422?
The HCF of 3820,9422 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 3820/207, 9422/1032?
Answer: GCF of Numerators as per given numbers 3820/207, 9422/1032 is
GCF of Numerators i.e. for 3820,9422 is 2
LCM of denominators i.e. for 207,1032 is 71208.
Thus, GCF of Fractions is 2/71208.Finally, GCF of Fractions for 3820/207, 9422/1032 is 2/71208.