GCF of 6450/664, 8632/9710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6450/664, 8632/9710 i.e 2/3223720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6450/664, 8632/9710.
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 6450/664,8632/9710?
Given fractions are 6450/664,8632/9710
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 6450/664,8632/9710, numerators are 6450,8632
Denominators are 664,9710
The GCF of 6450,8632 is 2 .
LCM of 664,9710 is 3223720.
The greatest common factor of 6450/664,8632/9710 = [GCF of 6450,8632]/[LCM of 664,9710]= 2/3223720
Therefore, the GCF of 6450/664,8632/9710 is 2/3223720.
To find the highest common factor of 6450,8632, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 6450,8632 is 2.
Lets's calculate GCF of 6450,8632
| 2 | 6450, 8632 |
| 3225, 4316 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6450,8632 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Greatest Common Factor
We found the factors 6450,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,8632 is 2.
Lets's calculate LCM of 664,9710
| 2 | 664, 9710 |
| 332, 4855 |
∴ So the LCM of the given numbers is 2 x 332 x 4855 = 3223720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3223720
Therefore, the GCF of Fractions 6450/664,8632/9710 is 2/3223720
Least Common Multiple of 664,9710 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 664,9710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,9710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,9710) x common factors =2 x 1 = 2
LCM(664,9710) = ( 664 × 9710 ) / 2
LCM(664,9710) = 6447440 / 2
LCM(664,9710) = 3223720
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FAQs on GCF of Fractions of 6450/664, 8632/9710
1. What is the HCF of 6450,8632?
The HCF of 6450,8632 is 2
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 6450/664, 8632/9710?
Answer: GCF of Numerators as per given numbers 6450/664, 8632/9710 is
GCF of Numerators i.e. for 6450,8632 is 2
LCM of denominators i.e. for 664,9710 is 3223720.
Thus, GCF of Fractions is 2/3223720.Finally, GCF of Fractions for 6450/664, 8632/9710 is 2/3223720.