GCF of 4227/966, 5718/1127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4227/966, 5718/1127 i.e 3/6762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4227/966, 5718/1127.
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 4227/966,5718/1127?
Given fractions are 4227/966,5718/1127
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 4227/966,5718/1127, numerators are 4227,5718
Denominators are 966,1127
The GCF of 4227,5718 is 3 .
LCM of 966,1127 is 6762.
The greatest common factor of 4227/966,5718/1127 = [GCF of 4227,5718]/[LCM of 966,1127]= 3/6762
Therefore, the GCF of 4227/966,5718/1127 is 3/6762.
To find the highest common factor of 4227,5718, we have to find the factors of both numbers and list the highest common factor.
The factors of 4227 are 1, 3, 1409, 4227
The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718
The HCF of 4227,5718 is 3.
Lets's calculate GCF of 4227,5718
| 3 | 4227, 5718 |
| 1409, 1906 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4227,5718 By Matching Biggest Common Factor Method
Now, list down the factors of 4227
:1,3,1409,4227
Now, list down the factors of 5718
:1,2,3,6,953,1906,2859,5718
Greatest Common Factor
We found the factors 4227,5718 . The biggest common factor number is the GCF number.
So the greatest common factor 4227,5718 is 3.
Lets's calculate LCM of 966,1127
| 7 | 966, 1127 |
| 23 | 138, 161 |
| 6, 7 |
∴ So the LCM of the given numbers is 7 x 23 x 6 x 7 = 6762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6762
Therefore, the GCF of Fractions 4227/966,5718/1127 is 3/6762
Least Common Multiple of 966,1127 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 966,1127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,1127) = 161
common factors(in case of two or more numbers have common factors) = 1
GCF(966,1127) x common factors =161 x 1 = 161
LCM(966,1127) = ( 966 × 1127 ) / 161
LCM(966,1127) = 1088682 / 161
LCM(966,1127) = 6762
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FAQs on GCF of Fractions of 4227/966, 5718/1127
1. What is the HCF of 4227,5718?
The HCF of 4227,5718 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 4227/966, 5718/1127?
Answer: GCF of Numerators as per given numbers 4227/966, 5718/1127 is
GCF of Numerators i.e. for 4227,5718 is 3
LCM of denominators i.e. for 966,1127 is 6762.
Thus, GCF of Fractions is 3/6762.Finally, GCF of Fractions for 4227/966, 5718/1127 is 3/6762.