GCF of 4434/282, 9207/5113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4434/282, 9207/5113 i.e 3/1441866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4434/282, 9207/5113.
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 4434/282,9207/5113?
Given fractions are 4434/282,9207/5113
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 4434/282,9207/5113, numerators are 4434,9207
Denominators are 282,5113
The GCF of 4434,9207 is 3 .
LCM of 282,5113 is 1441866.
The greatest common factor of 4434/282,9207/5113 = [GCF of 4434,9207]/[LCM of 282,5113]= 3/1441866
Therefore, the GCF of 4434/282,9207/5113 is 3/1441866.
To find the highest common factor of 4434,9207, we have to find the factors of both numbers and list the highest common factor.
The factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The HCF of 4434,9207 is 3.
Lets's calculate GCF of 4434,9207
| 3 | 4434, 9207 |
| 1478, 3069 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4434,9207 By Matching Biggest Common Factor Method
Now, list down the factors of 4434
:1,2,3,6,739,1478,2217,4434
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 4434,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,9207 is 3.
Lets's calculate LCM of 282,5113
Given numbers has no common factors except 1. So, there LCM is their product i.e 1441866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1441866
Therefore, the GCF of Fractions 4434/282,9207/5113 is 3/1441866
Least Common Multiple of 282,5113 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 282,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,5113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,5113) x common factors =1 x 1 = 1
LCM(282,5113) = ( 282 × 5113 ) / 1
LCM(282,5113) = 1441866 / 1
LCM(282,5113) = 1441866
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FAQs on GCF of Fractions of 4434/282, 9207/5113
1. What is the HCF of 4434,9207?
The HCF of 4434,9207 is 3
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 4434/282, 9207/5113?
Answer: GCF of Numerators as per given numbers 4434/282, 9207/5113 is
GCF of Numerators i.e. for 4434,9207 is 3
LCM of denominators i.e. for 282,5113 is 1441866.
Thus, GCF of Fractions is 3/1441866.Finally, GCF of Fractions for 4434/282, 9207/5113 is 3/1441866.