GCF of 5046/199, 9594/201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5046/199, 9594/201 i.e 6/39999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5046/199, 9594/201.
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 5046/199,9594/201?
Given fractions are 5046/199,9594/201
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 5046/199,9594/201, numerators are 5046,9594
Denominators are 199,201
The GCF of 5046,9594 is 6 .
LCM of 199,201 is 39999.
The greatest common factor of 5046/199,9594/201 = [GCF of 5046,9594]/[LCM of 199,201]= 6/39999
Therefore, the GCF of 5046/199,9594/201 is 6/39999.
To find the highest common factor of 5046,9594, we have to find the factors of both numbers and list the highest common factor.
The factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046
The factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594
The HCF of 5046,9594 is 6.
Lets's calculate GCF of 5046,9594
| 2 | 5046, 9594 |
| 3 | 2523, 4797 |
| 841, 1599 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5046,9594 By Matching Biggest Common Factor Method
Now, list down the factors of 5046
:1,2,3,6,29,58,87,174,841,1682,2523,5046
Now, list down the factors of 9594
:1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Greatest Common Factor
We found the factors 5046,9594 . The biggest common factor number is the GCF number.
So the greatest common factor 5046,9594 is 6.
Lets's calculate LCM of 199,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 39999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/39999
Therefore, the GCF of Fractions 5046/199,9594/201 is 6/39999
Least Common Multiple of 199,201 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 199,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,201) x common factors =1 x 1 = 1
LCM(199,201) = ( 199 × 201 ) / 1
LCM(199,201) = 39999 / 1
LCM(199,201) = 39999
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FAQs on GCF of Fractions of 5046/199, 9594/201
1. What is the HCF of 5046,9594?
The HCF of 5046,9594 is 6
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 5046/199, 9594/201?
Answer: GCF of Numerators as per given numbers 5046/199, 9594/201 is
GCF of Numerators i.e. for 5046,9594 is 6
LCM of denominators i.e. for 199,201 is 39999.
Thus, GCF of Fractions is 6/39999.Finally, GCF of Fractions for 5046/199, 9594/201 is 6/39999.