GCF of 66/464, 3952/6754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/464, 3952/6754 i.e 2/1566928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/464, 3952/6754.
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 66/464,3952/6754?
Given fractions are 66/464,3952/6754
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 66/464,3952/6754, numerators are 66,3952
Denominators are 464,6754
The GCF of 66,3952 is 2 .
LCM of 464,6754 is 1566928.
The greatest common factor of 66/464,3952/6754 = [GCF of 66,3952]/[LCM of 464,6754]= 2/1566928
Therefore, the GCF of 66/464,3952/6754 is 2/1566928.
To find the highest common factor of 66,3952, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952
The HCF of 66,3952 is 2.
Lets's calculate GCF of 66,3952
| 2 | 66, 3952 |
| 33, 1976 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 66,3952 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 3952
:1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Greatest Common Factor
We found the factors 66,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3952 is 2.
Lets's calculate LCM of 464,6754
| 2 | 464, 6754 |
| 232, 3377 |
∴ So the LCM of the given numbers is 2 x 232 x 3377 = 1566928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1566928
Therefore, the GCF of Fractions 66/464,3952/6754 is 2/1566928
Least Common Multiple of 464,6754 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 464,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6754) x common factors =2 x 1 = 2
LCM(464,6754) = ( 464 × 6754 ) / 2
LCM(464,6754) = 3133856 / 2
LCM(464,6754) = 1566928
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FAQs on GCF of Fractions of 66/464, 3952/6754
1. What is the HCF of 66,3952?
The HCF of 66,3952 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 66/464, 3952/6754?
Answer: GCF of Numerators as per given numbers 66/464, 3952/6754 is
GCF of Numerators i.e. for 66,3952 is 2
LCM of denominators i.e. for 464,6754 is 1566928.
Thus, GCF of Fractions is 2/1566928.Finally, GCF of Fractions for 66/464, 3952/6754 is 2/1566928.