GCF of 4074/677, 2422/4547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4074/677, 2422/4547 i.e 14/3078319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4074/677, 2422/4547.
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 4074/677,2422/4547?
Given fractions are 4074/677,2422/4547
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 4074/677,2422/4547, numerators are 4074,2422
Denominators are 677,4547
The GCF of 4074,2422 is 14 .
LCM of 677,4547 is 3078319.
The greatest common factor of 4074/677,2422/4547 = [GCF of 4074,2422]/[LCM of 677,4547]= 14/3078319
Therefore, the GCF of 4074/677,2422/4547 is 14/3078319.
To find the highest common factor of 4074,2422, we have to find the factors of both numbers and list the highest common factor.
The factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074
The factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422
The HCF of 4074,2422 is 14.
Lets's calculate GCF of 4074,2422
| 2 | 4074, 2422 |
| 7 | 2037, 1211 |
| 291, 173 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4074,2422 By Matching Biggest Common Factor Method
Now, list down the factors of 4074
:1,2,3,6,7,14,21,42,97,194,291,582,679,1358,2037,4074
Now, list down the factors of 2422
:1,2,7,14,173,346,1211,2422
Greatest Common Factor
We found the factors 4074,2422 . The biggest common factor number is the GCF number.
So the greatest common factor 4074,2422 is 14.
Lets's calculate LCM of 677,4547
Given numbers has no common factors except 1. So, there LCM is their product i.e 3078319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3078319
Therefore, the GCF of Fractions 4074/677,2422/4547 is 14/3078319
Least Common Multiple of 677,4547 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 677,4547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,4547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,4547) x common factors =1 x 1 = 1
LCM(677,4547) = ( 677 × 4547 ) / 1
LCM(677,4547) = 3078319 / 1
LCM(677,4547) = 3078319
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FAQs on GCF of Fractions of 4074/677, 2422/4547
1. What is the HCF of 4074,2422?
The HCF of 4074,2422 is 14
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 4074/677, 2422/4547?
Answer: GCF of Numerators as per given numbers 4074/677, 2422/4547 is
GCF of Numerators i.e. for 4074,2422 is 14
LCM of denominators i.e. for 677,4547 is 3078319.
Thus, GCF of Fractions is 14/3078319.Finally, GCF of Fractions for 4074/677, 2422/4547 is 14/3078319.