GCF of 8942/206, 8514/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8942/206, 8514/120 i.e 2/12360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8942/206, 8514/120.
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 8942/206,8514/120?
Given fractions are 8942/206,8514/120
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 8942/206,8514/120, numerators are 8942,8514
Denominators are 206,120
The GCF of 8942,8514 is 2 .
LCM of 206,120 is 12360.
The greatest common factor of 8942/206,8514/120 = [GCF of 8942,8514]/[LCM of 206,120]= 2/12360
Therefore, the GCF of 8942/206,8514/120 is 2/12360.
To find the highest common factor of 8942,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 8942,8514 is 2.
Lets's calculate GCF of 8942,8514
| 2 | 8942, 8514 |
| 4471, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8942,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 8942
:1,2,17,34,263,526,4471,8942
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 8942,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 8942,8514 is 2.
Lets's calculate LCM of 206,120
| 2 | 206, 120 |
| 103, 60 |
∴ So the LCM of the given numbers is 2 x 103 x 60 = 12360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12360
Therefore, the GCF of Fractions 8942/206,8514/120 is 2/12360
Least Common Multiple of 206,120 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 206,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,120) x common factors =2 x 1 = 2
LCM(206,120) = ( 206 × 120 ) / 2
LCM(206,120) = 24720 / 2
LCM(206,120) = 12360
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FAQs on GCF of Fractions of 8942/206, 8514/120
1. What is the HCF of 8942,8514?
The HCF of 8942,8514 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 8942/206, 8514/120?
Answer: GCF of Numerators as per given numbers 8942/206, 8514/120 is
GCF of Numerators i.e. for 8942,8514 is 2
LCM of denominators i.e. for 206,120 is 12360.
Thus, GCF of Fractions is 2/12360.Finally, GCF of Fractions for 8942/206, 8514/120 is 2/12360.