GCF of 4144/636, 3977/6321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4144/636, 3977/6321 i.e 1/1340052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4144/636, 3977/6321.
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 4144/636,3977/6321?
Given fractions are 4144/636,3977/6321
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 4144/636,3977/6321, numerators are 4144,3977
Denominators are 636,6321
The GCF of 4144,3977 is 1 .
LCM of 636,6321 is 1340052.
The greatest common factor of 4144/636,3977/6321 = [GCF of 4144,3977]/[LCM of 636,6321]= 1/1340052
Therefore, the GCF of 4144/636,3977/6321 is 1/1340052.
To find the highest common factor of 4144,3977, we have to find the factors of both numbers and list the highest common factor.
The factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144
The factors of 3977 are 1, 41, 97, 3977
The HCF of 4144,3977 is 1.
Lets's calculate GCF of 4144,3977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4144,3977 By Matching Biggest Common Factor Method
Now, list down the factors of 4144
:1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Now, list down the factors of 3977
:1,41,97,3977
Greatest Common Factor
We found the factors 4144,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 4144,3977 is 1.
Lets's calculate LCM of 636,6321
| 3 | 636, 6321 |
| 212, 2107 |
∴ So the LCM of the given numbers is 3 x 212 x 2107 = 1340052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1340052
Therefore, the GCF of Fractions 4144/636,3977/6321 is 1/1340052
Least Common Multiple of 636,6321 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 636,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,6321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,6321) x common factors =3 x 1 = 3
LCM(636,6321) = ( 636 × 6321 ) / 3
LCM(636,6321) = 4020156 / 3
LCM(636,6321) = 1340052
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FAQs on GCF of Fractions of 4144/636, 3977/6321
1. What is the HCF of 4144,3977?
The HCF of 4144,3977 is 1
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 4144/636, 3977/6321?
Answer: GCF of Numerators as per given numbers 4144/636, 3977/6321 is
GCF of Numerators i.e. for 4144,3977 is 1
LCM of denominators i.e. for 636,6321 is 1340052.
Thus, GCF of Fractions is 1/1340052.Finally, GCF of Fractions for 4144/636, 3977/6321 is 1/1340052.