GCF of 4942/206, 8994/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4942/206, 8994/390 i.e 2/40170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4942/206, 8994/390.
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 4942/206,8994/390?
Given fractions are 4942/206,8994/390
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 4942/206,8994/390, numerators are 4942,8994
Denominators are 206,390
The GCF of 4942,8994 is 2 .
LCM of 206,390 is 40170.
The greatest common factor of 4942/206,8994/390 = [GCF of 4942,8994]/[LCM of 206,390]= 2/40170
Therefore, the GCF of 4942/206,8994/390 is 2/40170.
To find the highest common factor of 4942,8994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942
The factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994
The HCF of 4942,8994 is 2.
Lets's calculate GCF of 4942,8994
| 2 | 4942, 8994 |
| 2471, 4497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4942,8994 By Matching Biggest Common Factor Method
Now, list down the factors of 4942
:1,2,7,14,353,706,2471,4942
Now, list down the factors of 8994
:1,2,3,6,1499,2998,4497,8994
Greatest Common Factor
We found the factors 4942,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 4942,8994 is 2.
Lets's calculate LCM of 206,390
| 2 | 206, 390 |
| 103, 195 |
∴ So the LCM of the given numbers is 2 x 103 x 195 = 40170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40170
Therefore, the GCF of Fractions 4942/206,8994/390 is 2/40170
Least Common Multiple of 206,390 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 206,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,390) x common factors =2 x 1 = 2
LCM(206,390) = ( 206 × 390 ) / 2
LCM(206,390) = 80340 / 2
LCM(206,390) = 40170
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FAQs on GCF of Fractions of 4942/206, 8994/390
1. What is the HCF of 4942,8994?
The HCF of 4942,8994 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 4942/206, 8994/390?
Answer: GCF of Numerators as per given numbers 4942/206, 8994/390 is
GCF of Numerators i.e. for 4942,8994 is 2
LCM of denominators i.e. for 206,390 is 40170.
Thus, GCF of Fractions is 2/40170.Finally, GCF of Fractions for 4942/206, 8994/390 is 2/40170.