GCF of 5536/554, 9982/6506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5536/554, 9982/6506 i.e 2/1802162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5536/554, 9982/6506.
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 5536/554,9982/6506?
Given fractions are 5536/554,9982/6506
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 5536/554,9982/6506, numerators are 5536,9982
Denominators are 554,6506
The GCF of 5536,9982 is 2 .
LCM of 554,6506 is 1802162.
The greatest common factor of 5536/554,9982/6506 = [GCF of 5536,9982]/[LCM of 554,6506]= 2/1802162
Therefore, the GCF of 5536/554,9982/6506 is 2/1802162.
To find the highest common factor of 5536,9982, we have to find the factors of both numbers and list the highest common factor.
The factors of 5536 are 1, 2, 4, 8, 16, 32, 173, 346, 692, 1384, 2768, 5536
The factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 5536,9982 is 2.
Lets's calculate GCF of 5536,9982
| 2 | 5536, 9982 |
| 2768, 4991 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5536,9982 By Matching Biggest Common Factor Method
Now, list down the factors of 5536
:1,2,4,8,16,32,173,346,692,1384,2768,5536
Now, list down the factors of 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 5536,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 5536,9982 is 2.
Lets's calculate LCM of 554,6506
| 2 | 554, 6506 |
| 277, 3253 |
∴ So the LCM of the given numbers is 2 x 277 x 3253 = 1802162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1802162
Therefore, the GCF of Fractions 5536/554,9982/6506 is 2/1802162
Least Common Multiple of 554,6506 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 554,6506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,6506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,6506) x common factors =2 x 1 = 2
LCM(554,6506) = ( 554 × 6506 ) / 2
LCM(554,6506) = 3604324 / 2
LCM(554,6506) = 1802162
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FAQs on GCF of Fractions of 5536/554, 9982/6506
1. What is the HCF of 5536,9982?
The HCF of 5536,9982 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 5536/554, 9982/6506?
Answer: GCF of Numerators as per given numbers 5536/554, 9982/6506 is
GCF of Numerators i.e. for 5536,9982 is 2
LCM of denominators i.e. for 554,6506 is 1802162.
Thus, GCF of Fractions is 2/1802162.Finally, GCF of Fractions for 5536/554, 9982/6506 is 2/1802162.