GCF of 8450/329, 1290/1465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8450/329, 1290/1465 i.e 10/481985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8450/329, 1290/1465.
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 8450/329,1290/1465?
Given fractions are 8450/329,1290/1465
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 8450/329,1290/1465, numerators are 8450,1290
Denominators are 329,1465
The GCF of 8450,1290 is 10 .
LCM of 329,1465 is 481985.
The greatest common factor of 8450/329,1290/1465 = [GCF of 8450,1290]/[LCM of 329,1465]= 10/481985
Therefore, the GCF of 8450/329,1290/1465 is 10/481985.
To find the highest common factor of 8450,1290, we have to find the factors of both numbers and list the highest common factor.
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
The HCF of 8450,1290 is 10.
Lets's calculate GCF of 8450,1290
| 2 | 8450, 1290 |
| 5 | 4225, 645 |
| 845, 129 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8450,1290 By Matching Biggest Common Factor Method
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
Greatest Common Factor
We found the factors 8450,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,1290 is 10.
Lets's calculate LCM of 329,1465
Given numbers has no common factors except 1. So, there LCM is their product i.e 481985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/481985
Therefore, the GCF of Fractions 8450/329,1290/1465 is 10/481985
Least Common Multiple of 329,1465 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 329,1465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,1465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,1465) x common factors =1 x 1 = 1
LCM(329,1465) = ( 329 × 1465 ) / 1
LCM(329,1465) = 481985 / 1
LCM(329,1465) = 481985
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FAQs on GCF of Fractions of 8450/329, 1290/1465
1. What is the HCF of 8450,1290?
The HCF of 8450,1290 is 10
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 8450/329, 1290/1465?
Answer: GCF of Numerators as per given numbers 8450/329, 1290/1465 is
GCF of Numerators i.e. for 8450,1290 is 10
LCM of denominators i.e. for 329,1465 is 481985.
Thus, GCF of Fractions is 10/481985.Finally, GCF of Fractions for 8450/329, 1290/1465 is 10/481985.