GCF of 5710/284, 2776/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5710/284, 2776/586 i.e 2/83212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5710/284, 2776/586.
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 5710/284,2776/586?
Given fractions are 5710/284,2776/586
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 5710/284,2776/586, numerators are 5710,2776
Denominators are 284,586
The GCF of 5710,2776 is 2 .
LCM of 284,586 is 83212.
The greatest common factor of 5710/284,2776/586 = [GCF of 5710,2776]/[LCM of 284,586]= 2/83212
Therefore, the GCF of 5710/284,2776/586 is 2/83212.
To find the highest common factor of 5710,2776, we have to find the factors of both numbers and list the highest common factor.
The factors of 5710 are 1, 2, 5, 10, 571, 1142, 2855, 5710
The factors of 2776 are 1, 2, 4, 8, 347, 694, 1388, 2776
The HCF of 5710,2776 is 2.
Lets's calculate GCF of 5710,2776
| 2 | 5710, 2776 |
| 2855, 1388 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5710,2776 By Matching Biggest Common Factor Method
Now, list down the factors of 5710
:1,2,5,10,571,1142,2855,5710
Now, list down the factors of 2776
:1,2,4,8,347,694,1388,2776
Greatest Common Factor
We found the factors 5710,2776 . The biggest common factor number is the GCF number.
So the greatest common factor 5710,2776 is 2.
Lets's calculate LCM of 284,586
| 2 | 284, 586 |
| 142, 293 |
∴ So the LCM of the given numbers is 2 x 142 x 293 = 83212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83212
Therefore, the GCF of Fractions 5710/284,2776/586 is 2/83212
Least Common Multiple of 284,586 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 284,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,586) x common factors =2 x 1 = 2
LCM(284,586) = ( 284 × 586 ) / 2
LCM(284,586) = 166424 / 2
LCM(284,586) = 83212
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FAQs on GCF of Fractions of 5710/284, 2776/586
1. What is the HCF of 5710,2776?
The HCF of 5710,2776 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 5710/284, 2776/586?
Answer: GCF of Numerators as per given numbers 5710/284, 2776/586 is
GCF of Numerators i.e. for 5710,2776 is 2
LCM of denominators i.e. for 284,586 is 83212.
Thus, GCF of Fractions is 2/83212.Finally, GCF of Fractions for 5710/284, 2776/586 is 2/83212.