GCF of 4767/219, 6114/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4767/219, 6114/219 i.e 3/219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4767/219, 6114/219.
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 4767/219,6114/219?
Given fractions are 4767/219,6114/219
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 4767/219,6114/219, numerators are 4767,6114
Denominators are 219,219
The GCF of 4767,6114 is 3 .
LCM of 219,219 is 219.
The greatest common factor of 4767/219,6114/219 = [GCF of 4767,6114]/[LCM of 219,219]= 3/219
Therefore, the GCF of 4767/219,6114/219 is 3/219.
To find the highest common factor of 4767,6114, we have to find the factors of both numbers and list the highest common factor.
The factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The HCF of 4767,6114 is 3.
Lets's calculate GCF of 4767,6114
| 3 | 4767, 6114 |
| 1589, 2038 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4767,6114 By Matching Biggest Common Factor Method
Now, list down the factors of 4767
:1,3,7,21,227,681,1589,4767
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Greatest Common Factor
We found the factors 4767,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 4767,6114 is 3.
Lets's calculate LCM of 219,219
| 3 | 219, 219 |
| 73 | 73, 73 |
| 1, 1 |
∴ So the LCM of the given numbers is 3 x 73 x 1 x 1 = 219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/219
Therefore, the GCF of Fractions 4767/219,6114/219 is 3/219
Least Common Multiple of 219,219 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 219,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,219) = 219
common factors(in case of two or more numbers have common factors) = 1
GCF(219,219) x common factors =219 x 1 = 219
LCM(219,219) = ( 219 × 219 ) / 219
LCM(219,219) = 47961 / 219
LCM(219,219) = 219
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FAQs on GCF of Fractions of 4767/219, 6114/219
1. What is the HCF of 4767,6114?
The HCF of 4767,6114 is 3
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 4767/219, 6114/219?
Answer: GCF of Numerators as per given numbers 4767/219, 6114/219 is
GCF of Numerators i.e. for 4767,6114 is 3
LCM of denominators i.e. for 219,219 is 219.
Thus, GCF of Fractions is 3/219.Finally, GCF of Fractions for 4767/219, 6114/219 is 3/219.