GCF of 5989/564, 5536/1298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5989/564, 5536/1298 i.e 1/366036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5989/564, 5536/1298.
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 5989/564,5536/1298?
Given fractions are 5989/564,5536/1298
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 5989/564,5536/1298, numerators are 5989,5536
Denominators are 564,1298
The GCF of 5989,5536 is 1 .
LCM of 564,1298 is 366036.
The greatest common factor of 5989/564,5536/1298 = [GCF of 5989,5536]/[LCM of 564,1298]= 1/366036
Therefore, the GCF of 5989/564,5536/1298 is 1/366036.
To find the highest common factor of 5989,5536, we have to find the factors of both numbers and list the highest common factor.
The factors of 5989 are 1, 53, 113, 5989
The factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536
The HCF of 5989,5536 is 1.
Lets's calculate GCF of 5989,5536
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5989,5536 By Matching Biggest Common Factor Method
Now, list down the factors of 5989
:1,53,113,5989
Now, list down the factors of 5536
:1,2,4,8,16,32,173,346,692,1384,2768,5536
Greatest Common Factor
We found the factors 5989,5536 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,5536 is 1.
Lets's calculate LCM of 564,1298
| 2 | 564, 1298 |
| 282, 649 |
∴ So the LCM of the given numbers is 2 x 282 x 649 = 366036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366036
Therefore, the GCF of Fractions 5989/564,5536/1298 is 1/366036
Least Common Multiple of 564,1298 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 564,1298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1298) x common factors =2 x 1 = 2
LCM(564,1298) = ( 564 × 1298 ) / 2
LCM(564,1298) = 732072 / 2
LCM(564,1298) = 366036
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FAQs on GCF of Fractions of 5989/564, 5536/1298
1. What is the HCF of 5989,5536?
The HCF of 5989,5536 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 5989/564, 5536/1298?
Answer: GCF of Numerators as per given numbers 5989/564, 5536/1298 is
GCF of Numerators i.e. for 5989,5536 is 1
LCM of denominators i.e. for 564,1298 is 366036.
Thus, GCF of Fractions is 1/366036.Finally, GCF of Fractions for 5989/564, 5536/1298 is 1/366036.