GCF of 4282/173, 2378/3280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4282/173, 2378/3280 i.e 2/567440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4282/173, 2378/3280.
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 4282/173,2378/3280?
Given fractions are 4282/173,2378/3280
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 4282/173,2378/3280, numerators are 4282,2378
Denominators are 173,3280
The GCF of 4282,2378 is 2 .
LCM of 173,3280 is 567440.
The greatest common factor of 4282/173,2378/3280 = [GCF of 4282,2378]/[LCM of 173,3280]= 2/567440
Therefore, the GCF of 4282/173,2378/3280 is 2/567440.
To find the highest common factor of 4282,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4282 are 1, 2, 2141, 4282
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 4282,2378 is 2.
Lets's calculate GCF of 4282,2378
| 2 | 4282, 2378 |
| 2141, 1189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4282,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 4282
:1,2,2141,4282
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 4282,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 4282,2378 is 2.
Lets's calculate LCM of 173,3280
Given numbers has no common factors except 1. So, there LCM is their product i.e 567440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/567440
Therefore, the GCF of Fractions 4282/173,2378/3280 is 2/567440
Least Common Multiple of 173,3280 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 173,3280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,3280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,3280) x common factors =1 x 1 = 1
LCM(173,3280) = ( 173 × 3280 ) / 1
LCM(173,3280) = 567440 / 1
LCM(173,3280) = 567440
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FAQs on GCF of Fractions of 4282/173, 2378/3280
1. What is the HCF of 4282,2378?
The HCF of 4282,2378 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 4282/173, 2378/3280?
Answer: GCF of Numerators as per given numbers 4282/173, 2378/3280 is
GCF of Numerators i.e. for 4282,2378 is 2
LCM of denominators i.e. for 173,3280 is 567440.
Thus, GCF of Fractions is 2/567440.Finally, GCF of Fractions for 4282/173, 2378/3280 is 2/567440.