GCF of 4194/513, 8514/5710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4194/513, 8514/5710 i.e 18/2929230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4194/513, 8514/5710.
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 4194/513,8514/5710?
Given fractions are 4194/513,8514/5710
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 4194/513,8514/5710, numerators are 4194,8514
Denominators are 513,5710
The GCF of 4194,8514 is 18 .
LCM of 513,5710 is 2929230.
The greatest common factor of 4194/513,8514/5710 = [GCF of 4194,8514]/[LCM of 513,5710]= 18/2929230
Therefore, the GCF of 4194/513,8514/5710 is 18/2929230.
To find the highest common factor of 4194,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194
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 4194,8514 is 18.
Lets's calculate GCF of 4194,8514
| 2 | 4194, 8514 |
| 3 | 2097, 4257 |
| 3 | 699, 1419 |
| 233, 473 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4194,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 4194
:1,2,3,6,9,18,233,466,699,1398,2097,4194
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 4194,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 4194,8514 is 18.
Lets's calculate LCM of 513,5710
Given numbers has no common factors except 1. So, there LCM is their product i.e 2929230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2929230
Therefore, the GCF of Fractions 4194/513,8514/5710 is 18/2929230
Least Common Multiple of 513,5710 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 513,5710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,5710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,5710) x common factors =1 x 1 = 1
LCM(513,5710) = ( 513 × 5710 ) / 1
LCM(513,5710) = 2929230 / 1
LCM(513,5710) = 2929230
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FAQs on GCF of Fractions of 4194/513, 8514/5710
1. What is the HCF of 4194,8514?
The HCF of 4194,8514 is 18
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 4194/513, 8514/5710?
Answer: GCF of Numerators as per given numbers 4194/513, 8514/5710 is
GCF of Numerators i.e. for 4194,8514 is 18
LCM of denominators i.e. for 513,5710 is 2929230.
Thus, GCF of Fractions is 18/2929230.Finally, GCF of Fractions for 4194/513, 8514/5710 is 18/2929230.