GCF of 1047/600, 8070/3959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1047/600, 8070/3959 i.e 3/2375400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1047/600, 8070/3959.
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 1047/600,8070/3959?
Given fractions are 1047/600,8070/3959
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 1047/600,8070/3959, numerators are 1047,8070
Denominators are 600,3959
The GCF of 1047,8070 is 3 .
LCM of 600,3959 is 2375400.
The greatest common factor of 1047/600,8070/3959 = [GCF of 1047,8070]/[LCM of 600,3959]= 3/2375400
Therefore, the GCF of 1047/600,8070/3959 is 3/2375400.
To find the highest common factor of 1047,8070, we have to find the factors of both numbers and list the highest common factor.
The factors of 1047 are 1, 3, 349, 1047
The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070
The HCF of 1047,8070 is 3.
Lets's calculate GCF of 1047,8070
| 3 | 1047, 8070 |
| 349, 2690 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1047,8070 By Matching Biggest Common Factor Method
Now, list down the factors of 1047
:1,3,349,1047
Now, list down the factors of 8070
:1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Greatest Common Factor
We found the factors 1047,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 1047,8070 is 3.
Lets's calculate LCM of 600,3959
Given numbers has no common factors except 1. So, there LCM is their product i.e 2375400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2375400
Therefore, the GCF of Fractions 1047/600,8070/3959 is 3/2375400
Least Common Multiple of 600,3959 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 600,3959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,3959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,3959) x common factors =1 x 1 = 1
LCM(600,3959) = ( 600 × 3959 ) / 1
LCM(600,3959) = 2375400 / 1
LCM(600,3959) = 2375400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1047/600, 8070/3959
1. What is the HCF of 1047,8070?
The HCF of 1047,8070 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 1047/600, 8070/3959?
Answer: GCF of Numerators as per given numbers 1047/600, 8070/3959 is
GCF of Numerators i.e. for 1047,8070 is 3
LCM of denominators i.e. for 600,3959 is 2375400.
Thus, GCF of Fractions is 3/2375400.Finally, GCF of Fractions for 1047/600, 8070/3959 is 3/2375400.