GCF of 3844/91, 4462/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3844/91, 4462/694 i.e 2/63154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3844/91, 4462/694.
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 3844/91,4462/694?
Given fractions are 3844/91,4462/694
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 3844/91,4462/694, numerators are 3844,4462
Denominators are 91,694
The GCF of 3844,4462 is 2 .
LCM of 91,694 is 63154.
The greatest common factor of 3844/91,4462/694 = [GCF of 3844,4462]/[LCM of 91,694]= 2/63154
Therefore, the GCF of 3844/91,4462/694 is 2/63154.
To find the highest common factor of 3844,4462, we have to find the factors of both numbers and list the highest common factor.
The factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844
The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462
The HCF of 3844,4462 is 2.
Lets's calculate GCF of 3844,4462
| 2 | 3844, 4462 |
| 1922, 2231 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3844,4462 By Matching Biggest Common Factor Method
Now, list down the factors of 3844
:1,2,4,31,62,124,961,1922,3844
Now, list down the factors of 4462
:1,2,23,46,97,194,2231,4462
Greatest Common Factor
We found the factors 3844,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 3844,4462 is 2.
Lets's calculate LCM of 91,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 63154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63154
Therefore, the GCF of Fractions 3844/91,4462/694 is 2/63154
Least Common Multiple of 91,694 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 91,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,694) x common factors =1 x 1 = 1
LCM(91,694) = ( 91 × 694 ) / 1
LCM(91,694) = 63154 / 1
LCM(91,694) = 63154
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FAQs on GCF of Fractions of 3844/91, 4462/694
1. What is the HCF of 3844,4462?
The HCF of 3844,4462 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 3844/91, 4462/694?
Answer: GCF of Numerators as per given numbers 3844/91, 4462/694 is
GCF of Numerators i.e. for 3844,4462 is 2
LCM of denominators i.e. for 91,694 is 63154.
Thus, GCF of Fractions is 2/63154.Finally, GCF of Fractions for 3844/91, 4462/694 is 2/63154.