GCF of 4037/336, 7976/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4037/336, 7976/966 i.e 1/7728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4037/336, 7976/966.
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 4037/336,7976/966?
Given fractions are 4037/336,7976/966
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 4037/336,7976/966, numerators are 4037,7976
Denominators are 336,966
The GCF of 4037,7976 is 1 .
LCM of 336,966 is 7728.
The greatest common factor of 4037/336,7976/966 = [GCF of 4037,7976]/[LCM of 336,966]= 1/7728
Therefore, the GCF of 4037/336,7976/966 is 1/7728.
To find the highest common factor of 4037,7976, we have to find the factors of both numbers and list the highest common factor.
The factors of 4037 are 1, 11, 367, 4037
The factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976
The HCF of 4037,7976 is 1.
Lets's calculate GCF of 4037,7976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4037,7976 By Matching Biggest Common Factor Method
Now, list down the factors of 4037
:1,11,367,4037
Now, list down the factors of 7976
:1,2,4,8,997,1994,3988,7976
Greatest Common Factor
We found the factors 4037,7976 . The biggest common factor number is the GCF number.
So the greatest common factor 4037,7976 is 1.
Lets's calculate LCM of 336,966
| 2 | 336, 966 |
| 3 | 168, 483 |
| 7 | 56, 161 |
| 8, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 8 x 23 = 7728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7728
Therefore, the GCF of Fractions 4037/336,7976/966 is 1/7728
Least Common Multiple of 336,966 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 336,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,966) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(336,966) x common factors =42 x 1 = 42
LCM(336,966) = ( 336 × 966 ) / 42
LCM(336,966) = 324576 / 42
LCM(336,966) = 7728
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FAQs on GCF of Fractions of 4037/336, 7976/966
1. What is the HCF of 4037,7976?
The HCF of 4037,7976 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 4037/336, 7976/966?
Answer: GCF of Numerators as per given numbers 4037/336, 7976/966 is
GCF of Numerators i.e. for 4037,7976 is 1
LCM of denominators i.e. for 336,966 is 7728.
Thus, GCF of Fractions is 1/7728.Finally, GCF of Fractions for 4037/336, 7976/966 is 1/7728.