GCF of 7938/930, 8092/492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7938/930, 8092/492 i.e 14/76260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7938/930, 8092/492.
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 7938/930,8092/492?
Given fractions are 7938/930,8092/492
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 7938/930,8092/492, numerators are 7938,8092
Denominators are 930,492
The GCF of 7938,8092 is 14 .
LCM of 930,492 is 76260.
The greatest common factor of 7938/930,8092/492 = [GCF of 7938,8092]/[LCM of 930,492]= 14/76260
Therefore, the GCF of 7938/930,8092/492 is 14/76260.
To find the highest common factor of 7938,8092, we have to find the factors of both numbers and list the highest common factor.
The factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The HCF of 7938,8092 is 14.
Lets's calculate GCF of 7938,8092
| 2 | 7938, 8092 |
| 7 | 3969, 4046 |
| 567, 578 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7938,8092 By Matching Biggest Common Factor Method
Now, list down the factors of 7938
:1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Greatest Common Factor
We found the factors 7938,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 7938,8092 is 14.
Lets's calculate LCM of 930,492
| 2 | 930, 492 |
| 3 | 465, 246 |
| 155, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 82 = 76260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/76260
Therefore, the GCF of Fractions 7938/930,8092/492 is 14/76260
Least Common Multiple of 930,492 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 930,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,492) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,492) x common factors =6 x 1 = 6
LCM(930,492) = ( 930 × 492 ) / 6
LCM(930,492) = 457560 / 6
LCM(930,492) = 76260
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FAQs on GCF of Fractions of 7938/930, 8092/492
1. What is the HCF of 7938,8092?
The HCF of 7938,8092 is 14
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 7938/930, 8092/492?
Answer: GCF of Numerators as per given numbers 7938/930, 8092/492 is
GCF of Numerators i.e. for 7938,8092 is 14
LCM of denominators i.e. for 930,492 is 76260.
Thus, GCF of Fractions is 14/76260.Finally, GCF of Fractions for 7938/930, 8092/492 is 14/76260.