GCF of 7551/967, 1614/3947
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7551/967, 1614/3947 i.e 3/3816749 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7551/967, 1614/3947.
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 7551/967,1614/3947?
Given fractions are 7551/967,1614/3947
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 7551/967,1614/3947, numerators are 7551,1614
Denominators are 967,3947
The GCF of 7551,1614 is 3 .
LCM of 967,3947 is 3816749.
The greatest common factor of 7551/967,1614/3947 = [GCF of 7551,1614]/[LCM of 967,3947]= 3/3816749
Therefore, the GCF of 7551/967,1614/3947 is 3/3816749.
To find the highest common factor of 7551,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 7551 are 1, 3, 9, 839, 2517, 7551
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 7551,1614 is 3.
Lets's calculate GCF of 7551,1614
| 3 | 7551, 1614 |
| 2517, 538 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7551,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 7551
:1,3,9,839,2517,7551
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 7551,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 7551,1614 is 3.
Lets's calculate LCM of 967,3947
Given numbers has no common factors except 1. So, there LCM is their product i.e 3816749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3816749
Therefore, the GCF of Fractions 7551/967,1614/3947 is 3/3816749
Least Common Multiple of 967,3947 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 967,3947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3947) x common factors =1 x 1 = 1
LCM(967,3947) = ( 967 × 3947 ) / 1
LCM(967,3947) = 3816749 / 1
LCM(967,3947) = 3816749
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7551/967, 1614/3947
1. What is the HCF of 7551,1614?
The HCF of 7551,1614 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 7551/967, 1614/3947?
Answer: GCF of Numerators as per given numbers 7551/967, 1614/3947 is
GCF of Numerators i.e. for 7551,1614 is 3
LCM of denominators i.e. for 967,3947 is 3816749.
Thus, GCF of Fractions is 3/3816749.Finally, GCF of Fractions for 7551/967, 1614/3947 is 3/3816749.