GCF of 9083/786, 5412/9432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9083/786, 5412/9432 i.e 1/9432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9083/786, 5412/9432.
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 9083/786,5412/9432?
Given fractions are 9083/786,5412/9432
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 9083/786,5412/9432, numerators are 9083,5412
Denominators are 786,9432
The GCF of 9083,5412 is 1 .
LCM of 786,9432 is 9432.
The greatest common factor of 9083/786,5412/9432 = [GCF of 9083,5412]/[LCM of 786,9432]= 1/9432
Therefore, the GCF of 9083/786,5412/9432 is 1/9432.
To find the highest common factor of 9083,5412, we have to find the factors of both numbers and list the highest common factor.
The factors of 9083 are 1, 31, 293, 9083
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
The HCF of 9083,5412 is 1.
Lets's calculate GCF of 9083,5412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9083,5412 By Matching Biggest Common Factor Method
Now, list down the factors of 9083
:1,31,293,9083
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Greatest Common Factor
We found the factors 9083,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 9083,5412 is 1.
Lets's calculate LCM of 786,9432
| 2 | 786, 9432 |
| 3 | 393, 4716 |
| 131 | 131, 1572 |
| 1, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 1 x 12 = 9432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9432
Therefore, the GCF of Fractions 9083/786,5412/9432 is 1/9432
Least Common Multiple of 786,9432 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 786,9432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,9432) = 786
common factors(in case of two or more numbers have common factors) = 1
GCF(786,9432) x common factors =786 x 1 = 786
LCM(786,9432) = ( 786 × 9432 ) / 786
LCM(786,9432) = 7413552 / 786
LCM(786,9432) = 9432
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9083/786, 5412/9432
1. What is the HCF of 9083,5412?
The HCF of 9083,5412 is 1
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 9083/786, 5412/9432?
Answer: GCF of Numerators as per given numbers 9083/786, 5412/9432 is
GCF of Numerators i.e. for 9083,5412 is 1
LCM of denominators i.e. for 786,9432 is 9432.
Thus, GCF of Fractions is 1/9432.Finally, GCF of Fractions for 9083/786, 5412/9432 is 1/9432.