GCF of 2962/904, 3729/3712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2962/904, 3729/3712 i.e 1/419456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2962/904, 3729/3712.
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 2962/904,3729/3712?
Given fractions are 2962/904,3729/3712
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 2962/904,3729/3712, numerators are 2962,3729
Denominators are 904,3712
The GCF of 2962,3729 is 1 .
LCM of 904,3712 is 419456.
The greatest common factor of 2962/904,3729/3712 = [GCF of 2962,3729]/[LCM of 904,3712]= 1/419456
Therefore, the GCF of 2962/904,3729/3712 is 1/419456.
To find the highest common factor of 2962,3729, we have to find the factors of both numbers and list the highest common factor.
The factors of 2962 are 1, 2, 1481, 2962
The factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729
The HCF of 2962,3729 is 1.
Lets's calculate GCF of 2962,3729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2962,3729 By Matching Biggest Common Factor Method
Now, list down the factors of 2962
:1,2,1481,2962
Now, list down the factors of 3729
:1,3,11,33,113,339,1243,3729
Greatest Common Factor
We found the factors 2962,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,3729 is 1.
Lets's calculate LCM of 904,3712
| 2 | 904, 3712 |
| 2 | 452, 1856 |
| 2 | 226, 928 |
| 113, 464 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 464 = 419456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419456
Therefore, the GCF of Fractions 2962/904,3729/3712 is 1/419456
Least Common Multiple of 904,3712 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 904,3712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,3712) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(904,3712) x common factors =8 x 1 = 8
LCM(904,3712) = ( 904 × 3712 ) / 8
LCM(904,3712) = 3355648 / 8
LCM(904,3712) = 419456
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FAQs on GCF of Fractions of 2962/904, 3729/3712
1. What is the HCF of 2962,3729?
The HCF of 2962,3729 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 2962/904, 3729/3712?
Answer: GCF of Numerators as per given numbers 2962/904, 3729/3712 is
GCF of Numerators i.e. for 2962,3729 is 1
LCM of denominators i.e. for 904,3712 is 419456.
Thus, GCF of Fractions is 1/419456.Finally, GCF of Fractions for 2962/904, 3729/3712 is 1/419456.