GCF of 554/130, 568/868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/130, 568/868 i.e 2/56420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/130, 568/868.
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 554/130,568/868?
Given fractions are 554/130,568/868
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 554/130,568/868, numerators are 554,568
Denominators are 130,868
The GCF of 554,568 is 2 .
LCM of 130,868 is 56420.
The greatest common factor of 554/130,568/868 = [GCF of 554,568]/[LCM of 130,868]= 2/56420
Therefore, the GCF of 554/130,568/868 is 2/56420.
To find the highest common factor of 554,568, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The HCF of 554,568 is 2.
Lets's calculate GCF of 554,568
| 2 | 554, 568 |
| 277, 284 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 554,568 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 554,568 . The biggest common factor number is the GCF number.
So the greatest common factor 554,568 is 2.
Lets's calculate LCM of 130,868
| 2 | 130, 868 |
| 65, 434 |
∴ So the LCM of the given numbers is 2 x 65 x 434 = 56420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56420
Therefore, the GCF of Fractions 554/130,568/868 is 2/56420
Least Common Multiple of 130,868 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 130,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,868) x common factors =2 x 1 = 2
LCM(130,868) = ( 130 × 868 ) / 2
LCM(130,868) = 112840 / 2
LCM(130,868) = 56420
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FAQs on GCF of Fractions of 554/130, 568/868
1. What is the HCF of 554,568?
The HCF of 554,568 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 554/130, 568/868?
Answer: GCF of Numerators as per given numbers 554/130, 568/868 is
GCF of Numerators i.e. for 554,568 is 2
LCM of denominators i.e. for 130,868 is 56420.
Thus, GCF of Fractions is 2/56420.Finally, GCF of Fractions for 554/130, 568/868 is 2/56420.