GCF of 1414/627, 7764/4161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1414/627, 7764/4161 i.e 2/45771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1414/627, 7764/4161.
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 1414/627,7764/4161?
Given fractions are 1414/627,7764/4161
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 1414/627,7764/4161, numerators are 1414,7764
Denominators are 627,4161
The GCF of 1414,7764 is 2 .
LCM of 627,4161 is 45771.
The greatest common factor of 1414/627,7764/4161 = [GCF of 1414,7764]/[LCM of 627,4161]= 2/45771
Therefore, the GCF of 1414/627,7764/4161 is 2/45771.
To find the highest common factor of 1414,7764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The HCF of 1414,7764 is 2.
Lets's calculate GCF of 1414,7764
| 2 | 1414, 7764 |
| 707, 3882 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1414,7764 By Matching Biggest Common Factor Method
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Greatest Common Factor
We found the factors 1414,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 1414,7764 is 2.
Lets's calculate LCM of 627,4161
| 3 | 627, 4161 |
| 19 | 209, 1387 |
| 11, 73 |
∴ So the LCM of the given numbers is 3 x 19 x 11 x 73 = 45771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45771
Therefore, the GCF of Fractions 1414/627,7764/4161 is 2/45771
Least Common Multiple of 627,4161 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 627,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,4161) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(627,4161) x common factors =57 x 1 = 57
LCM(627,4161) = ( 627 × 4161 ) / 57
LCM(627,4161) = 2608947 / 57
LCM(627,4161) = 45771
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FAQs on GCF of Fractions of 1414/627, 7764/4161
1. What is the HCF of 1414,7764?
The HCF of 1414,7764 is 2
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 1414/627, 7764/4161?
Answer: GCF of Numerators as per given numbers 1414/627, 7764/4161 is
GCF of Numerators i.e. for 1414,7764 is 2
LCM of denominators i.e. for 627,4161 is 45771.
Thus, GCF of Fractions is 2/45771.Finally, GCF of Fractions for 1414/627, 7764/4161 is 2/45771.