GCF of 4514/261, 6893/1219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4514/261, 6893/1219 i.e 61/318159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4514/261, 6893/1219.
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 4514/261,6893/1219?
Given fractions are 4514/261,6893/1219
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 4514/261,6893/1219, numerators are 4514,6893
Denominators are 261,1219
The GCF of 4514,6893 is 61 .
LCM of 261,1219 is 318159.
The greatest common factor of 4514/261,6893/1219 = [GCF of 4514,6893]/[LCM of 261,1219]= 61/318159
Therefore, the GCF of 4514/261,6893/1219 is 61/318159.
To find the highest common factor of 4514,6893, we have to find the factors of both numbers and list the highest common factor.
The factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514
The factors of 6893 are 1, 61, 113, 6893
The HCF of 4514,6893 is 61.
Lets's calculate GCF of 4514,6893
| 61 | 4514, 6893 |
| 74, 113 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 4514,6893 By Matching Biggest Common Factor Method
Now, list down the factors of 4514
:1,2,37,61,74,122,2257,4514
Now, list down the factors of 6893
:1,61,113,6893
Greatest Common Factor
We found the factors 4514,6893 . The biggest common factor number is the GCF number.
So the greatest common factor 4514,6893 is 61.
Lets's calculate LCM of 261,1219
Given numbers has no common factors except 1. So, there LCM is their product i.e 318159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/318159
Therefore, the GCF of Fractions 4514/261,6893/1219 is 61/318159
Least Common Multiple of 261,1219 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 261,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,1219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,1219) x common factors =1 x 1 = 1
LCM(261,1219) = ( 261 × 1219 ) / 1
LCM(261,1219) = 318159 / 1
LCM(261,1219) = 318159
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FAQs on GCF of Fractions of 4514/261, 6893/1219
1. What is the HCF of 4514,6893?
The HCF of 4514,6893 is 61
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 4514/261, 6893/1219?
Answer: GCF of Numerators as per given numbers 4514/261, 6893/1219 is
GCF of Numerators i.e. for 4514,6893 is 61
LCM of denominators i.e. for 261,1219 is 318159.
Thus, GCF of Fractions is 61/318159.Finally, GCF of Fractions for 4514/261, 6893/1219 is 61/318159.