GCF of 4943/123, 6734/201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4943/123, 6734/201 i.e 1/8241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4943/123, 6734/201.
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 4943/123,6734/201?
Given fractions are 4943/123,6734/201
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 4943/123,6734/201, numerators are 4943,6734
Denominators are 123,201
The GCF of 4943,6734 is 1 .
LCM of 123,201 is 8241.
The greatest common factor of 4943/123,6734/201 = [GCF of 4943,6734]/[LCM of 123,201]= 1/8241
Therefore, the GCF of 4943/123,6734/201 is 1/8241.
To find the highest common factor of 4943,6734, we have to find the factors of both numbers and list the highest common factor.
The factors of 4943 are 1, 4943
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The HCF of 4943,6734 is 1.
Lets's calculate GCF of 4943,6734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4943,6734 By Matching Biggest Common Factor Method
Now, list down the factors of 4943
:1,4943
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Greatest Common Factor
We found the factors 4943,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 4943,6734 is 1.
Lets's calculate LCM of 123,201
| 3 | 123, 201 |
| 41, 67 |
∴ So the LCM of the given numbers is 3 x 41 x 67 = 8241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8241
Therefore, the GCF of Fractions 4943/123,6734/201 is 1/8241
Least Common Multiple of 123,201 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 123,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,201) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,201) x common factors =3 x 1 = 3
LCM(123,201) = ( 123 × 201 ) / 3
LCM(123,201) = 24723 / 3
LCM(123,201) = 8241
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FAQs on GCF of Fractions of 4943/123, 6734/201
1. What is the HCF of 4943,6734?
The HCF of 4943,6734 is 1
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 4943/123, 6734/201?
Answer: GCF of Numerators as per given numbers 4943/123, 6734/201 is
GCF of Numerators i.e. for 4943,6734 is 1
LCM of denominators i.e. for 123,201 is 8241.
Thus, GCF of Fractions is 1/8241.Finally, GCF of Fractions for 4943/123, 6734/201 is 1/8241.