GCF of 108/946, 3699/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 108/946, 3699/367 i.e 27/347182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 108/946, 3699/367.
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 108/946,3699/367?
Given fractions are 108/946,3699/367
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 108/946,3699/367, numerators are 108,3699
Denominators are 946,367
The GCF of 108,3699 is 27 .
LCM of 946,367 is 347182.
The greatest common factor of 108/946,3699/367 = [GCF of 108,3699]/[LCM of 946,367]= 27/347182
Therefore, the GCF of 108/946,3699/367 is 27/347182.
To find the highest common factor of 108,3699, we have to find the factors of both numbers and list the highest common factor.
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699
The HCF of 108,3699 is 27.
Lets's calculate GCF of 108,3699
| 3 | 108, 3699 |
| 3 | 36, 1233 |
| 3 | 12, 411 |
| 4, 137 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 108,3699 By Matching Biggest Common Factor Method
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 3699
:1,3,9,27,137,411,1233,3699
Greatest Common Factor
We found the factors 108,3699 . The biggest common factor number is the GCF number.
So the greatest common factor 108,3699 is 27.
Lets's calculate LCM of 946,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 347182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/347182
Therefore, the GCF of Fractions 108/946,3699/367 is 27/347182
Least Common Multiple of 946,367 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 946,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,367) x common factors =1 x 1 = 1
LCM(946,367) = ( 946 × 367 ) / 1
LCM(946,367) = 347182 / 1
LCM(946,367) = 347182
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FAQs on GCF of Fractions of 108/946, 3699/367
1. What is the HCF of 108,3699?
The HCF of 108,3699 is 27
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 108/946, 3699/367?
Answer: GCF of Numerators as per given numbers 108/946, 3699/367 is
GCF of Numerators i.e. for 108,3699 is 27
LCM of denominators i.e. for 946,367 is 347182.
Thus, GCF of Fractions is 27/347182.Finally, GCF of Fractions for 108/946, 3699/367 is 27/347182.