GCF of 8230/962, 8036/7120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8230/962, 8036/7120 i.e 2/3424720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8230/962, 8036/7120.
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 8230/962,8036/7120?
Given fractions are 8230/962,8036/7120
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 8230/962,8036/7120, numerators are 8230,8036
Denominators are 962,7120
The GCF of 8230,8036 is 2 .
LCM of 962,7120 is 3424720.
The greatest common factor of 8230/962,8036/7120 = [GCF of 8230,8036]/[LCM of 962,7120]= 2/3424720
Therefore, the GCF of 8230/962,8036/7120 is 2/3424720.
To find the highest common factor of 8230,8036, we have to find the factors of both numbers and list the highest common factor.
The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230
The factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036
The HCF of 8230,8036 is 2.
Lets's calculate GCF of 8230,8036
| 2 | 8230, 8036 |
| 4115, 4018 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8230,8036 By Matching Biggest Common Factor Method
Now, list down the factors of 8230
:1,2,5,10,823,1646,4115,8230
Now, list down the factors of 8036
:1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Greatest Common Factor
We found the factors 8230,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 8230,8036 is 2.
Lets's calculate LCM of 962,7120
| 2 | 962, 7120 |
| 481, 3560 |
∴ So the LCM of the given numbers is 2 x 481 x 3560 = 3424720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3424720
Therefore, the GCF of Fractions 8230/962,8036/7120 is 2/3424720
Least Common Multiple of 962,7120 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 962,7120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,7120) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,7120) x common factors =2 x 1 = 2
LCM(962,7120) = ( 962 × 7120 ) / 2
LCM(962,7120) = 6849440 / 2
LCM(962,7120) = 3424720
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FAQs on GCF of Fractions of 8230/962, 8036/7120
1. What is the HCF of 8230,8036?
The HCF of 8230,8036 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 8230/962, 8036/7120?
Answer: GCF of Numerators as per given numbers 8230/962, 8036/7120 is
GCF of Numerators i.e. for 8230,8036 is 2
LCM of denominators i.e. for 962,7120 is 3424720.
Thus, GCF of Fractions is 2/3424720.Finally, GCF of Fractions for 8230/962, 8036/7120 is 2/3424720.