GCF of 8286/268, 5766/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8286/268, 5766/617 i.e 6/165356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8286/268, 5766/617.
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 8286/268,5766/617?
Given fractions are 8286/268,5766/617
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 8286/268,5766/617, numerators are 8286,5766
Denominators are 268,617
The GCF of 8286,5766 is 6 .
LCM of 268,617 is 165356.
The greatest common factor of 8286/268,5766/617 = [GCF of 8286,5766]/[LCM of 268,617]= 6/165356
Therefore, the GCF of 8286/268,5766/617 is 6/165356.
To find the highest common factor of 8286,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 8286,5766 is 6.
Lets's calculate GCF of 8286,5766
| 2 | 8286, 5766 |
| 3 | 4143, 2883 |
| 1381, 961 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8286,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 8286,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 8286,5766 is 6.
Lets's calculate LCM of 268,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 165356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/165356
Therefore, the GCF of Fractions 8286/268,5766/617 is 6/165356
Least Common Multiple of 268,617 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 268,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,617) x common factors =1 x 1 = 1
LCM(268,617) = ( 268 × 617 ) / 1
LCM(268,617) = 165356 / 1
LCM(268,617) = 165356
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FAQs on GCF of Fractions of 8286/268, 5766/617
1. What is the HCF of 8286,5766?
The HCF of 8286,5766 is 6
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 8286/268, 5766/617?
Answer: GCF of Numerators as per given numbers 8286/268, 5766/617 is
GCF of Numerators i.e. for 8286,5766 is 6
LCM of denominators i.e. for 268,617 is 165356.
Thus, GCF of Fractions is 6/165356.Finally, GCF of Fractions for 8286/268, 5766/617 is 6/165356.