GCF of 4194/464, 4322/7944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4194/464, 4322/7944 i.e 2/460752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4194/464, 4322/7944.
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 4194/464,4322/7944?
Given fractions are 4194/464,4322/7944
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 4194/464,4322/7944, numerators are 4194,4322
Denominators are 464,7944
The GCF of 4194,4322 is 2 .
LCM of 464,7944 is 460752.
The greatest common factor of 4194/464,4322/7944 = [GCF of 4194,4322]/[LCM of 464,7944]= 2/460752
Therefore, the GCF of 4194/464,4322/7944 is 2/460752.
To find the highest common factor of 4194,4322, we have to find the factors of both numbers and list the highest common factor.
The factors of 4194 are 1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097, 4194
The factors of 4322 are 1, 2, 2161, 4322
The HCF of 4194,4322 is 2.
Lets's calculate GCF of 4194,4322
| 2 | 4194, 4322 |
| 2097, 2161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4194,4322 By Matching Biggest Common Factor Method
Now, list down the factors of 4194
:1,2,3,6,9,18,233,466,699,1398,2097,4194
Now, list down the factors of 4322
:1,2,2161,4322
Greatest Common Factor
We found the factors 4194,4322 . The biggest common factor number is the GCF number.
So the greatest common factor 4194,4322 is 2.
Lets's calculate LCM of 464,7944
| 2 | 464, 7944 |
| 2 | 232, 3972 |
| 2 | 116, 1986 |
| 58, 993 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 58 x 993 = 460752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/460752
Therefore, the GCF of Fractions 4194/464,4322/7944 is 2/460752
Least Common Multiple of 464,7944 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 464,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,7944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(464,7944) x common factors =8 x 1 = 8
LCM(464,7944) = ( 464 × 7944 ) / 8
LCM(464,7944) = 3686016 / 8
LCM(464,7944) = 460752
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FAQs on GCF of Fractions of 4194/464, 4322/7944
1. What is the HCF of 4194,4322?
The HCF of 4194,4322 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 4194/464, 4322/7944?
Answer: GCF of Numerators as per given numbers 4194/464, 4322/7944 is
GCF of Numerators i.e. for 4194,4322 is 2
LCM of denominators i.e. for 464,7944 is 460752.
Thus, GCF of Fractions is 2/460752.Finally, GCF of Fractions for 4194/464, 4322/7944 is 2/460752.