GCF of 8946/364, 3914/3775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8946/364, 3914/3775 i.e 2/1374100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8946/364, 3914/3775.
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 8946/364,3914/3775?
Given fractions are 8946/364,3914/3775
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 8946/364,3914/3775, numerators are 8946,3914
Denominators are 364,3775
The GCF of 8946,3914 is 2 .
LCM of 364,3775 is 1374100.
The greatest common factor of 8946/364,3914/3775 = [GCF of 8946,3914]/[LCM of 364,3775]= 2/1374100
Therefore, the GCF of 8946/364,3914/3775 is 2/1374100.
To find the highest common factor of 8946,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 8946,3914 is 2.
Lets's calculate GCF of 8946,3914
| 2 | 8946, 3914 |
| 4473, 1957 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8946,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 8946
:1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 8946,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 8946,3914 is 2.
Lets's calculate LCM of 364,3775
Given numbers has no common factors except 1. So, there LCM is their product i.e 1374100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1374100
Therefore, the GCF of Fractions 8946/364,3914/3775 is 2/1374100
Least Common Multiple of 364,3775 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 364,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,3775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,3775) x common factors =1 x 1 = 1
LCM(364,3775) = ( 364 × 3775 ) / 1
LCM(364,3775) = 1374100 / 1
LCM(364,3775) = 1374100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8946/364, 3914/3775
1. What is the HCF of 8946,3914?
The HCF of 8946,3914 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 8946/364, 3914/3775?
Answer: GCF of Numerators as per given numbers 8946/364, 3914/3775 is
GCF of Numerators i.e. for 8946,3914 is 2
LCM of denominators i.e. for 364,3775 is 1374100.
Thus, GCF of Fractions is 2/1374100.Finally, GCF of Fractions for 8946/364, 3914/3775 is 2/1374100.