GCF of 3958/664, 7632/6964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3958/664, 7632/6964 i.e 2/1156024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3958/664, 7632/6964.
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 3958/664,7632/6964?
Given fractions are 3958/664,7632/6964
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 3958/664,7632/6964, numerators are 3958,7632
Denominators are 664,6964
The GCF of 3958,7632 is 2 .
LCM of 664,6964 is 1156024.
The greatest common factor of 3958/664,7632/6964 = [GCF of 3958,7632]/[LCM of 664,6964]= 2/1156024
Therefore, the GCF of 3958/664,7632/6964 is 2/1156024.
To find the highest common factor of 3958,7632, we have to find the factors of both numbers and list the highest common factor.
The factors of 3958 are 1, 2, 1979, 3958
The factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632
The HCF of 3958,7632 is 2.
Lets's calculate GCF of 3958,7632
| 2 | 3958, 7632 |
| 1979, 3816 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3958,7632 By Matching Biggest Common Factor Method
Now, list down the factors of 3958
:1,2,1979,3958
Now, list down the factors of 7632
:1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632
Greatest Common Factor
We found the factors 3958,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,7632 is 2.
Lets's calculate LCM of 664,6964
| 2 | 664, 6964 |
| 2 | 332, 3482 |
| 166, 1741 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 1741 = 1156024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1156024
Therefore, the GCF of Fractions 3958/664,7632/6964 is 2/1156024
Least Common Multiple of 664,6964 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 664,6964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,6964) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(664,6964) x common factors =4 x 1 = 4
LCM(664,6964) = ( 664 × 6964 ) / 4
LCM(664,6964) = 4624096 / 4
LCM(664,6964) = 1156024
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3958/664, 7632/6964
1. What is the HCF of 3958,7632?
The HCF of 3958,7632 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 3958/664, 7632/6964?
Answer: GCF of Numerators as per given numbers 3958/664, 7632/6964 is
GCF of Numerators i.e. for 3958,7632 is 2
LCM of denominators i.e. for 664,6964 is 1156024.
Thus, GCF of Fractions is 2/1156024.Finally, GCF of Fractions for 3958/664, 7632/6964 is 2/1156024.