GCF of 5533/418, 9170/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5533/418, 9170/736 i.e 1/153824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5533/418, 9170/736.
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 5533/418,9170/736?
Given fractions are 5533/418,9170/736
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 5533/418,9170/736, numerators are 5533,9170
Denominators are 418,736
The GCF of 5533,9170 is 1 .
LCM of 418,736 is 153824.
The greatest common factor of 5533/418,9170/736 = [GCF of 5533,9170]/[LCM of 418,736]= 1/153824
Therefore, the GCF of 5533/418,9170/736 is 1/153824.
To find the highest common factor of 5533,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 5533 are 1, 11, 503, 5533
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 5533,9170 is 1.
Lets's calculate GCF of 5533,9170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5533,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 5533
:1,11,503,5533
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 5533,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 5533,9170 is 1.
Lets's calculate LCM of 418,736
| 2 | 418, 736 |
| 209, 368 |
∴ So the LCM of the given numbers is 2 x 209 x 368 = 153824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153824
Therefore, the GCF of Fractions 5533/418,9170/736 is 1/153824
Least Common Multiple of 418,736 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 418,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,736) x common factors =2 x 1 = 2
LCM(418,736) = ( 418 × 736 ) / 2
LCM(418,736) = 307648 / 2
LCM(418,736) = 153824
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FAQs on GCF of Fractions of 5533/418, 9170/736
1. What is the HCF of 5533,9170?
The HCF of 5533,9170 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 5533/418, 9170/736?
Answer: GCF of Numerators as per given numbers 5533/418, 9170/736 is
GCF of Numerators i.e. for 5533,9170 is 1
LCM of denominators i.e. for 418,736 is 153824.
Thus, GCF of Fractions is 1/153824.Finally, GCF of Fractions for 5533/418, 9170/736 is 1/153824.