GCF of 4760/732, 8047/7440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4760/732, 8047/7440 i.e 1/453840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4760/732, 8047/7440.
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 4760/732,8047/7440?
Given fractions are 4760/732,8047/7440
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 4760/732,8047/7440, numerators are 4760,8047
Denominators are 732,7440
The GCF of 4760,8047 is 1 .
LCM of 732,7440 is 453840.
The greatest common factor of 4760/732,8047/7440 = [GCF of 4760,8047]/[LCM of 732,7440]= 1/453840
Therefore, the GCF of 4760/732,8047/7440 is 1/453840.
To find the highest common factor of 4760,8047, we have to find the factors of both numbers and list the highest common factor.
The factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760
The factors of 8047 are 1, 13, 619, 8047
The HCF of 4760,8047 is 1.
Lets's calculate GCF of 4760,8047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4760,8047 By Matching Biggest Common Factor Method
Now, list down the factors of 4760
:1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Now, list down the factors of 8047
:1,13,619,8047
Greatest Common Factor
We found the factors 4760,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 4760,8047 is 1.
Lets's calculate LCM of 732,7440
| 2 | 732, 7440 |
| 2 | 366, 3720 |
| 3 | 183, 1860 |
| 61, 620 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 620 = 453840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453840
Therefore, the GCF of Fractions 4760/732,8047/7440 is 1/453840
Least Common Multiple of 732,7440 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 732,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,7440) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(732,7440) x common factors =12 x 1 = 12
LCM(732,7440) = ( 732 × 7440 ) / 12
LCM(732,7440) = 5446080 / 12
LCM(732,7440) = 453840
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FAQs on GCF of Fractions of 4760/732, 8047/7440
1. What is the HCF of 4760,8047?
The HCF of 4760,8047 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 4760/732, 8047/7440?
Answer: GCF of Numerators as per given numbers 4760/732, 8047/7440 is
GCF of Numerators i.e. for 4760,8047 is 1
LCM of denominators i.e. for 732,7440 is 453840.
Thus, GCF of Fractions is 1/453840.Finally, GCF of Fractions for 4760/732, 8047/7440 is 1/453840.