GCF of 4472/478, 5590/9707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4472/478, 5590/9707 i.e 1118/4639946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4472/478, 5590/9707.
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 4472/478,5590/9707?
Given fractions are 4472/478,5590/9707
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 4472/478,5590/9707, numerators are 4472,5590
Denominators are 478,9707
The GCF of 4472,5590 is 1118 .
LCM of 478,9707 is 4639946.
The greatest common factor of 4472/478,5590/9707 = [GCF of 4472,5590]/[LCM of 478,9707]= 1118/4639946
Therefore, the GCF of 4472/478,5590/9707 is 1118/4639946.
To find the highest common factor of 4472,5590, we have to find the factors of both numbers and list the highest common factor.
The factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The HCF of 4472,5590 is 1118.
Lets's calculate GCF of 4472,5590
| 2 | 4472, 5590 |
| 13 | 2236, 2795 |
| 43 | 172, 215 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 13 x 43 = 1118
Greatest Common Factor of 4472,5590 By Matching Biggest Common Factor Method
Now, list down the factors of 4472
:1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 4472,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 4472,5590 is 1118.
Lets's calculate LCM of 478,9707
Given numbers has no common factors except 1. So, there LCM is their product i.e 4639946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1118/4639946
Therefore, the GCF of Fractions 4472/478,5590/9707 is 1118/4639946
Least Common Multiple of 478,9707 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 478,9707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,9707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,9707) x common factors =1 x 1 = 1
LCM(478,9707) = ( 478 × 9707 ) / 1
LCM(478,9707) = 4639946 / 1
LCM(478,9707) = 4639946
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FAQs on GCF of Fractions of 4472/478, 5590/9707
1. What is the HCF of 4472,5590?
The HCF of 4472,5590 is 1118
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 4472/478, 5590/9707?
Answer: GCF of Numerators as per given numbers 4472/478, 5590/9707 is
GCF of Numerators i.e. for 4472,5590 is 1118
LCM of denominators i.e. for 478,9707 is 4639946.
Thus, GCF of Fractions is 1118/4639946.Finally, GCF of Fractions for 4472/478, 5590/9707 is 1118/4639946.