GCF of 2256/586, 5464/281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2256/586, 5464/281 i.e 8/164666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2256/586, 5464/281.
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 2256/586,5464/281?
Given fractions are 2256/586,5464/281
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 2256/586,5464/281, numerators are 2256,5464
Denominators are 586,281
The GCF of 2256,5464 is 8 .
LCM of 586,281 is 164666.
The greatest common factor of 2256/586,5464/281 = [GCF of 2256,5464]/[LCM of 586,281]= 8/164666
Therefore, the GCF of 2256/586,5464/281 is 8/164666.
To find the highest common factor of 2256,5464, we have to find the factors of both numbers and list the highest common factor.
The factors of 2256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128, 2256
The factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464
The HCF of 2256,5464 is 8.
Lets's calculate GCF of 2256,5464
| 2 | 2256, 5464 |
| 2 | 1128, 2732 |
| 2 | 564, 1366 |
| 282, 683 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2256,5464 By Matching Biggest Common Factor Method
Now, list down the factors of 2256
:1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256
Now, list down the factors of 5464
:1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 2256,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 2256,5464 is 8.
Lets's calculate LCM of 586,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 164666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/164666
Therefore, the GCF of Fractions 2256/586,5464/281 is 8/164666
Least Common Multiple of 586,281 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 586,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,281) x common factors =1 x 1 = 1
LCM(586,281) = ( 586 × 281 ) / 1
LCM(586,281) = 164666 / 1
LCM(586,281) = 164666
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FAQs on GCF of Fractions of 2256/586, 5464/281
1. What is the HCF of 2256,5464?
The HCF of 2256,5464 is 8
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 2256/586, 5464/281?
Answer: GCF of Numerators as per given numbers 2256/586, 5464/281 is
GCF of Numerators i.e. for 2256,5464 is 8
LCM of denominators i.e. for 586,281 is 164666.
Thus, GCF of Fractions is 8/164666.Finally, GCF of Fractions for 2256/586, 5464/281 is 8/164666.