GCF of 7464/310, 4767/3077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7464/310, 4767/3077 i.e 3/953870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7464/310, 4767/3077.
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 7464/310,4767/3077?
Given fractions are 7464/310,4767/3077
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 7464/310,4767/3077, numerators are 7464,4767
Denominators are 310,3077
The GCF of 7464,4767 is 3 .
LCM of 310,3077 is 953870.
The greatest common factor of 7464/310,4767/3077 = [GCF of 7464,4767]/[LCM of 310,3077]= 3/953870
Therefore, the GCF of 7464/310,4767/3077 is 3/953870.
To find the highest common factor of 7464,4767, we have to find the factors of both numbers and list the highest common factor.
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The factors of 4767 are 1, 3, 7, 21, 227, 681, 1589, 4767
The HCF of 7464,4767 is 3.
Lets's calculate GCF of 7464,4767
| 3 | 7464, 4767 |
| 2488, 1589 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7464,4767 By Matching Biggest Common Factor Method
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Now, list down the factors of 4767
:1,3,7,21,227,681,1589,4767
Greatest Common Factor
We found the factors 7464,4767 . The biggest common factor number is the GCF number.
So the greatest common factor 7464,4767 is 3.
Lets's calculate LCM of 310,3077
Given numbers has no common factors except 1. So, there LCM is their product i.e 953870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/953870
Therefore, the GCF of Fractions 7464/310,4767/3077 is 3/953870
Least Common Multiple of 310,3077 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 310,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,3077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,3077) x common factors =1 x 1 = 1
LCM(310,3077) = ( 310 × 3077 ) / 1
LCM(310,3077) = 953870 / 1
LCM(310,3077) = 953870
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7464/310, 4767/3077
1. What is the HCF of 7464,4767?
The HCF of 7464,4767 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 7464/310, 4767/3077?
Answer: GCF of Numerators as per given numbers 7464/310, 4767/3077 is
GCF of Numerators i.e. for 7464,4767 is 3
LCM of denominators i.e. for 310,3077 is 953870.
Thus, GCF of Fractions is 3/953870.Finally, GCF of Fractions for 7464/310, 4767/3077 is 3/953870.