GCF of 4378/172, 4024/1609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4378/172, 4024/1609 i.e 2/276748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4378/172, 4024/1609.
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 4378/172,4024/1609?
Given fractions are 4378/172,4024/1609
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 4378/172,4024/1609, numerators are 4378,4024
Denominators are 172,1609
The GCF of 4378,4024 is 2 .
LCM of 172,1609 is 276748.
The greatest common factor of 4378/172,4024/1609 = [GCF of 4378,4024]/[LCM of 172,1609]= 2/276748
Therefore, the GCF of 4378/172,4024/1609 is 2/276748.
To find the highest common factor of 4378,4024, we have to find the factors of both numbers and list the highest common factor.
The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378
The factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024
The HCF of 4378,4024 is 2.
Lets's calculate GCF of 4378,4024
| 2 | 4378, 4024 |
| 2189, 2012 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4378,4024 By Matching Biggest Common Factor Method
Now, list down the factors of 4378
:1,2,11,22,199,398,2189,4378
Now, list down the factors of 4024
:1,2,4,8,503,1006,2012,4024
Greatest Common Factor
We found the factors 4378,4024 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,4024 is 2.
Lets's calculate LCM of 172,1609
Given numbers has no common factors except 1. So, there LCM is their product i.e 276748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276748
Therefore, the GCF of Fractions 4378/172,4024/1609 is 2/276748
Least Common Multiple of 172,1609 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 172,1609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1609) x common factors =1 x 1 = 1
LCM(172,1609) = ( 172 × 1609 ) / 1
LCM(172,1609) = 276748 / 1
LCM(172,1609) = 276748
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FAQs on GCF of Fractions of 4378/172, 4024/1609
1. What is the HCF of 4378,4024?
The HCF of 4378,4024 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 4378/172, 4024/1609?
Answer: GCF of Numerators as per given numbers 4378/172, 4024/1609 is
GCF of Numerators i.e. for 4378,4024 is 2
LCM of denominators i.e. for 172,1609 is 276748.
Thus, GCF of Fractions is 2/276748.Finally, GCF of Fractions for 4378/172, 4024/1609 is 2/276748.