GCF of 8022/117, 9932/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8022/117, 9932/862 i.e 382/100854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8022/117, 9932/862.
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 8022/117,9932/862?
Given fractions are 8022/117,9932/862
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 8022/117,9932/862, numerators are 8022,9932
Denominators are 117,862
The GCF of 8022,9932 is 382 .
LCM of 117,862 is 100854.
The greatest common factor of 8022/117,9932/862 = [GCF of 8022,9932]/[LCM of 117,862]= 382/100854
Therefore, the GCF of 8022/117,9932/862 is 382/100854.
To find the highest common factor of 8022,9932, we have to find the factors of both numbers and list the highest common factor.
The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The HCF of 8022,9932 is 382.
Lets's calculate GCF of 8022,9932
| 2 | 8022, 9932 |
| 191 | 4011, 4966 |
| 21, 26 |
∴ So the GCF of the given numbers is 2 x 191 = 382
Greatest Common Factor of 8022,9932 By Matching Biggest Common Factor Method
Now, list down the factors of 8022
:1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Greatest Common Factor
We found the factors 8022,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,9932 is 382.
Lets's calculate LCM of 117,862
Given numbers has no common factors except 1. So, there LCM is their product i.e 100854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 382/100854
Therefore, the GCF of Fractions 8022/117,9932/862 is 382/100854
Least Common Multiple of 117,862 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 117,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,862) x common factors =1 x 1 = 1
LCM(117,862) = ( 117 × 862 ) / 1
LCM(117,862) = 100854 / 1
LCM(117,862) = 100854
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FAQs on GCF of Fractions of 8022/117, 9932/862
1. What is the HCF of 8022,9932?
The HCF of 8022,9932 is 382
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 8022/117, 9932/862?
Answer: GCF of Numerators as per given numbers 8022/117, 9932/862 is
GCF of Numerators i.e. for 8022,9932 is 382
LCM of denominators i.e. for 117,862 is 100854.
Thus, GCF of Fractions is 382/100854.Finally, GCF of Fractions for 8022/117, 9932/862 is 382/100854.