GCF of 8154/851, 9432/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8154/851, 9432/643 i.e 18/547193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8154/851, 9432/643.
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 8154/851,9432/643?
Given fractions are 8154/851,9432/643
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 8154/851,9432/643, numerators are 8154,9432
Denominators are 851,643
The GCF of 8154,9432 is 18 .
LCM of 851,643 is 547193.
The greatest common factor of 8154/851,9432/643 = [GCF of 8154,9432]/[LCM of 851,643]= 18/547193
Therefore, the GCF of 8154/851,9432/643 is 18/547193.
To find the highest common factor of 8154,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 8154,9432 is 18.
Lets's calculate GCF of 8154,9432
| 2 | 8154, 9432 |
| 3 | 4077, 4716 |
| 3 | 1359, 1572 |
| 453, 524 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 8154,9432 By Matching Biggest Common Factor Method
Now, list down the factors of 8154
:1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 8154,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 8154,9432 is 18.
Lets's calculate LCM of 851,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 547193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/547193
Therefore, the GCF of Fractions 8154/851,9432/643 is 18/547193
Least Common Multiple of 851,643 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 851,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,643) x common factors =1 x 1 = 1
LCM(851,643) = ( 851 × 643 ) / 1
LCM(851,643) = 547193 / 1
LCM(851,643) = 547193
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8154/851, 9432/643
1. What is the HCF of 8154,9432?
The HCF of 8154,9432 is 18
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 8154/851, 9432/643?
Answer: GCF of Numerators as per given numbers 8154/851, 9432/643 is
GCF of Numerators i.e. for 8154,9432 is 18
LCM of denominators i.e. for 851,643 is 547193.
Thus, GCF of Fractions is 18/547193.Finally, GCF of Fractions for 8154/851, 9432/643 is 18/547193.