GCF of 3723/183, 6902/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3723/183, 6902/8522 i.e 17/1559526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3723/183, 6902/8522.
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 3723/183,6902/8522?
Given fractions are 3723/183,6902/8522
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 3723/183,6902/8522, numerators are 3723,6902
Denominators are 183,8522
The GCF of 3723,6902 is 17 .
LCM of 183,8522 is 1559526.
The greatest common factor of 3723/183,6902/8522 = [GCF of 3723,6902]/[LCM of 183,8522]= 17/1559526
Therefore, the GCF of 3723/183,6902/8522 is 17/1559526.
To find the highest common factor of 3723,6902, we have to find the factors of both numbers and list the highest common factor.
The factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723
The factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
The HCF of 3723,6902 is 17.
Lets's calculate GCF of 3723,6902
| 17 | 3723, 6902 |
| 219, 406 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 3723,6902 By Matching Biggest Common Factor Method
Now, list down the factors of 3723
:1,3,17,51,73,219,1241,3723
Now, list down the factors of 6902
:1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902
Greatest Common Factor
We found the factors 3723,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 3723,6902 is 17.
Lets's calculate LCM of 183,8522
Given numbers has no common factors except 1. So, there LCM is their product i.e 1559526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1559526
Therefore, the GCF of Fractions 3723/183,6902/8522 is 17/1559526
Least Common Multiple of 183,8522 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 183,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,8522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,8522) x common factors =1 x 1 = 1
LCM(183,8522) = ( 183 × 8522 ) / 1
LCM(183,8522) = 1559526 / 1
LCM(183,8522) = 1559526
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3723/183, 6902/8522
1. What is the HCF of 3723,6902?
The HCF of 3723,6902 is 17
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 3723/183, 6902/8522?
Answer: GCF of Numerators as per given numbers 3723/183, 6902/8522 is
GCF of Numerators i.e. for 3723,6902 is 17
LCM of denominators i.e. for 183,8522 is 1559526.
Thus, GCF of Fractions is 17/1559526.Finally, GCF of Fractions for 3723/183, 6902/8522 is 17/1559526.