GCF of 4429/374, 5977/4214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4429/374, 5977/4214 i.e 43/788018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4429/374, 5977/4214.
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 4429/374,5977/4214?
Given fractions are 4429/374,5977/4214
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 4429/374,5977/4214, numerators are 4429,5977
Denominators are 374,4214
The GCF of 4429,5977 is 43 .
LCM of 374,4214 is 788018.
The greatest common factor of 4429/374,5977/4214 = [GCF of 4429,5977]/[LCM of 374,4214]= 43/788018
Therefore, the GCF of 4429/374,5977/4214 is 43/788018.
To find the highest common factor of 4429,5977, we have to find the factors of both numbers and list the highest common factor.
The factors of 4429 are 1, 43, 103, 4429
The factors of 5977 are 1, 43, 139, 5977
The HCF of 4429,5977 is 43.
Lets's calculate GCF of 4429,5977
| 43 | 4429, 5977 |
| 103, 139 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 4429,5977 By Matching Biggest Common Factor Method
Now, list down the factors of 4429
:1,43,103,4429
Now, list down the factors of 5977
:1,43,139,5977
Greatest Common Factor
We found the factors 4429,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 4429,5977 is 43.
Lets's calculate LCM of 374,4214
| 2 | 374, 4214 |
| 187, 2107 |
∴ So the LCM of the given numbers is 2 x 187 x 2107 = 788018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/788018
Therefore, the GCF of Fractions 4429/374,5977/4214 is 43/788018
Least Common Multiple of 374,4214 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 374,4214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,4214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,4214) x common factors =2 x 1 = 2
LCM(374,4214) = ( 374 × 4214 ) / 2
LCM(374,4214) = 1576036 / 2
LCM(374,4214) = 788018
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FAQs on GCF of Fractions of 4429/374, 5977/4214
1. What is the HCF of 4429,5977?
The HCF of 4429,5977 is 43
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 4429/374, 5977/4214?
Answer: GCF of Numerators as per given numbers 4429/374, 5977/4214 is
GCF of Numerators i.e. for 4429,5977 is 43
LCM of denominators i.e. for 374,4214 is 788018.
Thus, GCF of Fractions is 43/788018.Finally, GCF of Fractions for 4429/374, 5977/4214 is 43/788018.