GCF of 8103/182, 6450/9702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8103/182, 6450/9702 i.e 3/126126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8103/182, 6450/9702.
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 8103/182,6450/9702?
Given fractions are 8103/182,6450/9702
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 8103/182,6450/9702, numerators are 8103,6450
Denominators are 182,9702
The GCF of 8103,6450 is 3 .
LCM of 182,9702 is 126126.
The greatest common factor of 8103/182,6450/9702 = [GCF of 8103,6450]/[LCM of 182,9702]= 3/126126
Therefore, the GCF of 8103/182,6450/9702 is 3/126126.
To find the highest common factor of 8103,6450, we have to find the factors of both numbers and list the highest common factor.
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The factors of 6450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225, 6450
The HCF of 8103,6450 is 3.
Lets's calculate GCF of 8103,6450
| 3 | 8103, 6450 |
| 2701, 2150 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8103,6450 By Matching Biggest Common Factor Method
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Now, list down the factors of 6450
:1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Greatest Common Factor
We found the factors 8103,6450 . The biggest common factor number is the GCF number.
So the greatest common factor 8103,6450 is 3.
Lets's calculate LCM of 182,9702
| 2 | 182, 9702 |
| 7 | 91, 4851 |
| 13, 693 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 693 = 126126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126126
Therefore, the GCF of Fractions 8103/182,6450/9702 is 3/126126
Least Common Multiple of 182,9702 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 182,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,9702) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(182,9702) x common factors =14 x 1 = 14
LCM(182,9702) = ( 182 × 9702 ) / 14
LCM(182,9702) = 1765764 / 14
LCM(182,9702) = 126126
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FAQs on GCF of Fractions of 8103/182, 6450/9702
1. What is the HCF of 8103,6450?
The HCF of 8103,6450 is 3
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 8103/182, 6450/9702?
Answer: GCF of Numerators as per given numbers 8103/182, 6450/9702 is
GCF of Numerators i.e. for 8103,6450 is 3
LCM of denominators i.e. for 182,9702 is 126126.
Thus, GCF of Fractions is 3/126126.Finally, GCF of Fractions for 8103/182, 6450/9702 is 3/126126.