GCF of 568/968, 7206/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 568/968, 7206/204 i.e 2/49368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/968, 7206/204.
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 568/968,7206/204?
Given fractions are 568/968,7206/204
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 568/968,7206/204, numerators are 568,7206
Denominators are 968,204
The GCF of 568,7206 is 2 .
LCM of 968,204 is 49368.
The greatest common factor of 568/968,7206/204 = [GCF of 568,7206]/[LCM of 968,204]= 2/49368
Therefore, the GCF of 568/968,7206/204 is 2/49368.
To find the highest common factor of 568,7206, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206
The HCF of 568,7206 is 2.
Lets's calculate GCF of 568,7206
| 2 | 568, 7206 |
| 284, 3603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 568,7206 By Matching Biggest Common Factor Method
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 7206
:1,2,3,6,1201,2402,3603,7206
Greatest Common Factor
We found the factors 568,7206 . The biggest common factor number is the GCF number.
So the greatest common factor 568,7206 is 2.
Lets's calculate LCM of 968,204
| 2 | 968, 204 |
| 2 | 484, 102 |
| 242, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 51 = 49368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49368
Therefore, the GCF of Fractions 568/968,7206/204 is 2/49368
Least Common Multiple of 968,204 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 968,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,204) x common factors =4 x 1 = 4
LCM(968,204) = ( 968 × 204 ) / 4
LCM(968,204) = 197472 / 4
LCM(968,204) = 49368
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FAQs on GCF of Fractions of 568/968, 7206/204
1. What is the HCF of 568,7206?
The HCF of 568,7206 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 568/968, 7206/204?
Answer: GCF of Numerators as per given numbers 568/968, 7206/204 is
GCF of Numerators i.e. for 568,7206 is 2
LCM of denominators i.e. for 968,204 is 49368.
Thus, GCF of Fractions is 2/49368.Finally, GCF of Fractions for 568/968, 7206/204 is 2/49368.