GCF of 7830/734, 6481/4804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7830/734, 6481/4804 i.e 1/1763068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7830/734, 6481/4804.
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 7830/734,6481/4804?
Given fractions are 7830/734,6481/4804
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 7830/734,6481/4804, numerators are 7830,6481
Denominators are 734,4804
The GCF of 7830,6481 is 1 .
LCM of 734,4804 is 1763068.
The greatest common factor of 7830/734,6481/4804 = [GCF of 7830,6481]/[LCM of 734,4804]= 1/1763068
Therefore, the GCF of 7830/734,6481/4804 is 1/1763068.
To find the highest common factor of 7830,6481, we have to find the factors of both numbers and list the highest common factor.
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The factors of 6481 are 1, 6481
The HCF of 7830,6481 is 1.
Lets's calculate GCF of 7830,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7830,6481 By Matching Biggest Common Factor Method
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Now, list down the factors of 6481
:1,6481
Greatest Common Factor
We found the factors 7830,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 7830,6481 is 1.
Lets's calculate LCM of 734,4804
| 2 | 734, 4804 |
| 367, 2402 |
∴ So the LCM of the given numbers is 2 x 367 x 2402 = 1763068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1763068
Therefore, the GCF of Fractions 7830/734,6481/4804 is 1/1763068
Least Common Multiple of 734,4804 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 734,4804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,4804) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,4804) x common factors =2 x 1 = 2
LCM(734,4804) = ( 734 × 4804 ) / 2
LCM(734,4804) = 3526136 / 2
LCM(734,4804) = 1763068
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FAQs on GCF of Fractions of 7830/734, 6481/4804
1. What is the HCF of 7830,6481?
The HCF of 7830,6481 is 1
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 7830/734, 6481/4804?
Answer: GCF of Numerators as per given numbers 7830/734, 6481/4804 is
GCF of Numerators i.e. for 7830,6481 is 1
LCM of denominators i.e. for 734,4804 is 1763068.
Thus, GCF of Fractions is 1/1763068.Finally, GCF of Fractions for 7830/734, 6481/4804 is 1/1763068.