GCF of 4388/455, 9370/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4388/455, 9370/282 i.e 2/128310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4388/455, 9370/282.
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 4388/455,9370/282?
Given fractions are 4388/455,9370/282
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 4388/455,9370/282, numerators are 4388,9370
Denominators are 455,282
The GCF of 4388,9370 is 2 .
LCM of 455,282 is 128310.
The greatest common factor of 4388/455,9370/282 = [GCF of 4388,9370]/[LCM of 455,282]= 2/128310
Therefore, the GCF of 4388/455,9370/282 is 2/128310.
To find the highest common factor of 4388,9370, we have to find the factors of both numbers and list the highest common factor.
The factors of 4388 are 1, 2, 4, 1097, 2194, 4388
The factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370
The HCF of 4388,9370 is 2.
Lets's calculate GCF of 4388,9370
| 2 | 4388, 9370 |
| 2194, 4685 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4388,9370 By Matching Biggest Common Factor Method
Now, list down the factors of 4388
:1,2,4,1097,2194,4388
Now, list down the factors of 9370
:1,2,5,10,937,1874,4685,9370
Greatest Common Factor
We found the factors 4388,9370 . The biggest common factor number is the GCF number.
So the greatest common factor 4388,9370 is 2.
Lets's calculate LCM of 455,282
Given numbers has no common factors except 1. So, there LCM is their product i.e 128310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128310
Therefore, the GCF of Fractions 4388/455,9370/282 is 2/128310
Least Common Multiple of 455,282 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 455,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,282) x common factors =1 x 1 = 1
LCM(455,282) = ( 455 × 282 ) / 1
LCM(455,282) = 128310 / 1
LCM(455,282) = 128310
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FAQs on GCF of Fractions of 4388/455, 9370/282
1. What is the HCF of 4388,9370?
The HCF of 4388,9370 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 4388/455, 9370/282?
Answer: GCF of Numerators as per given numbers 4388/455, 9370/282 is
GCF of Numerators i.e. for 4388,9370 is 2
LCM of denominators i.e. for 455,282 is 128310.
Thus, GCF of Fractions is 2/128310.Finally, GCF of Fractions for 4388/455, 9370/282 is 2/128310.