GCF of 566/256, 8645/9740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 566/256, 8645/9740 i.e 1/623360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/256, 8645/9740.
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 566/256,8645/9740?
Given fractions are 566/256,8645/9740
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 566/256,8645/9740, numerators are 566,8645
Denominators are 256,9740
The GCF of 566,8645 is 1 .
LCM of 256,9740 is 623360.
The greatest common factor of 566/256,8645/9740 = [GCF of 566,8645]/[LCM of 256,9740]= 1/623360
Therefore, the GCF of 566/256,8645/9740 is 1/623360.
To find the highest common factor of 566,8645, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The HCF of 566,8645 is 1.
Lets's calculate GCF of 566,8645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 566,8645 By Matching Biggest Common Factor Method
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Greatest Common Factor
We found the factors 566,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 566,8645 is 1.
Lets's calculate LCM of 256,9740
| 2 | 256, 9740 |
| 2 | 128, 4870 |
| 64, 2435 |
∴ So the LCM of the given numbers is 2 x 2 x 64 x 2435 = 623360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623360
Therefore, the GCF of Fractions 566/256,8645/9740 is 1/623360
Least Common Multiple of 256,9740 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 256,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,9740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(256,9740) x common factors =4 x 1 = 4
LCM(256,9740) = ( 256 × 9740 ) / 4
LCM(256,9740) = 2493440 / 4
LCM(256,9740) = 623360
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FAQs on GCF of Fractions of 566/256, 8645/9740
1. What is the HCF of 566,8645?
The HCF of 566,8645 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 566/256, 8645/9740?
Answer: GCF of Numerators as per given numbers 566/256, 8645/9740 is
GCF of Numerators i.e. for 566,8645 is 1
LCM of denominators i.e. for 256,9740 is 623360.
Thus, GCF of Fractions is 1/623360.Finally, GCF of Fractions for 566/256, 8645/9740 is 1/623360.