GCF of 8310/513, 9574/3796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8310/513, 9574/3796 i.e 2/1947348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8310/513, 9574/3796.
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 8310/513,9574/3796?
Given fractions are 8310/513,9574/3796
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 8310/513,9574/3796, numerators are 8310,9574
Denominators are 513,3796
The GCF of 8310,9574 is 2 .
LCM of 513,3796 is 1947348.
The greatest common factor of 8310/513,9574/3796 = [GCF of 8310,9574]/[LCM of 513,3796]= 2/1947348
Therefore, the GCF of 8310/513,9574/3796 is 2/1947348.
To find the highest common factor of 8310,9574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
The factors of 9574 are 1, 2, 4787, 9574
The HCF of 8310,9574 is 2.
Lets's calculate GCF of 8310,9574
| 2 | 8310, 9574 |
| 4155, 4787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8310,9574 By Matching Biggest Common Factor Method
Now, list down the factors of 8310
:1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310
Now, list down the factors of 9574
:1,2,4787,9574
Greatest Common Factor
We found the factors 8310,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 8310,9574 is 2.
Lets's calculate LCM of 513,3796
Given numbers has no common factors except 1. So, there LCM is their product i.e 1947348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1947348
Therefore, the GCF of Fractions 8310/513,9574/3796 is 2/1947348
Least Common Multiple of 513,3796 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 513,3796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,3796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,3796) x common factors =1 x 1 = 1
LCM(513,3796) = ( 513 × 3796 ) / 1
LCM(513,3796) = 1947348 / 1
LCM(513,3796) = 1947348
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FAQs on GCF of Fractions of 8310/513, 9574/3796
1. What is the HCF of 8310,9574?
The HCF of 8310,9574 is 2
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 8310/513, 9574/3796?
Answer: GCF of Numerators as per given numbers 8310/513, 9574/3796 is
GCF of Numerators i.e. for 8310,9574 is 2
LCM of denominators i.e. for 513,3796 is 1947348.
Thus, GCF of Fractions is 2/1947348.Finally, GCF of Fractions for 8310/513, 9574/3796 is 2/1947348.