GCF of 3659/566, 8632/1222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3659/566, 8632/1222 i.e 1/345826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3659/566, 8632/1222.
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 3659/566,8632/1222?
Given fractions are 3659/566,8632/1222
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 3659/566,8632/1222, numerators are 3659,8632
Denominators are 566,1222
The GCF of 3659,8632 is 1 .
LCM of 566,1222 is 345826.
The greatest common factor of 3659/566,8632/1222 = [GCF of 3659,8632]/[LCM of 566,1222]= 1/345826
Therefore, the GCF of 3659/566,8632/1222 is 1/345826.
To find the highest common factor of 3659,8632, we have to find the factors of both numbers and list the highest common factor.
The factors of 3659 are 1, 3659
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 3659,8632 is 1.
Lets's calculate GCF of 3659,8632
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3659,8632 By Matching Biggest Common Factor Method
Now, list down the factors of 3659
:1,3659
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 3659,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 3659,8632 is 1.
Lets's calculate LCM of 566,1222
| 2 | 566, 1222 |
| 283, 611 |
∴ So the LCM of the given numbers is 2 x 283 x 611 = 345826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345826
Therefore, the GCF of Fractions 3659/566,8632/1222 is 1/345826
Least Common Multiple of 566,1222 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 566,1222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,1222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,1222) x common factors =2 x 1 = 2
LCM(566,1222) = ( 566 × 1222 ) / 2
LCM(566,1222) = 691652 / 2
LCM(566,1222) = 345826
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FAQs on GCF of Fractions of 3659/566, 8632/1222
1. What is the HCF of 3659,8632?
The HCF of 3659,8632 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 3659/566, 8632/1222?
Answer: GCF of Numerators as per given numbers 3659/566, 8632/1222 is
GCF of Numerators i.e. for 3659,8632 is 1
LCM of denominators i.e. for 566,1222 is 345826.
Thus, GCF of Fractions is 1/345826.Finally, GCF of Fractions for 3659/566, 8632/1222 is 1/345826.