GCF of 9430/678, 7130/3264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9430/678, 7130/3264 i.e 230/368832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9430/678, 7130/3264.
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 9430/678,7130/3264?
Given fractions are 9430/678,7130/3264
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 9430/678,7130/3264, numerators are 9430,7130
Denominators are 678,3264
The GCF of 9430,7130 is 230 .
LCM of 678,3264 is 368832.
The greatest common factor of 9430/678,7130/3264 = [GCF of 9430,7130]/[LCM of 678,3264]= 230/368832
Therefore, the GCF of 9430/678,7130/3264 is 230/368832.
To find the highest common factor of 9430,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 9430,7130 is 230.
Lets's calculate GCF of 9430,7130
| 2 | 9430, 7130 |
| 5 | 4715, 3565 |
| 23 | 943, 713 |
| 41, 31 |
∴ So the GCF of the given numbers is 2 x 5 x 23 = 230
Greatest Common Factor of 9430,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 9430
:1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 9430,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 9430,7130 is 230.
Lets's calculate LCM of 678,3264
| 2 | 678, 3264 |
| 3 | 339, 1632 |
| 113, 544 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 544 = 368832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 230/368832
Therefore, the GCF of Fractions 9430/678,7130/3264 is 230/368832
Least Common Multiple of 678,3264 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 678,3264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,3264) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,3264) x common factors =6 x 1 = 6
LCM(678,3264) = ( 678 × 3264 ) / 6
LCM(678,3264) = 2212992 / 6
LCM(678,3264) = 368832
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FAQs on GCF of Fractions of 9430/678, 7130/3264
1. What is the HCF of 9430,7130?
The HCF of 9430,7130 is 230
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 9430/678, 7130/3264?
Answer: GCF of Numerators as per given numbers 9430/678, 7130/3264 is
GCF of Numerators i.e. for 9430,7130 is 230
LCM of denominators i.e. for 678,3264 is 368832.
Thus, GCF of Fractions is 230/368832.Finally, GCF of Fractions for 9430/678, 7130/3264 is 230/368832.