GCF of 3172/274, 8283/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3172/274, 8283/353 i.e 1/96722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3172/274, 8283/353.
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 3172/274,8283/353?
Given fractions are 3172/274,8283/353
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 3172/274,8283/353, numerators are 3172,8283
Denominators are 274,353
The GCF of 3172,8283 is 1 .
LCM of 274,353 is 96722.
The greatest common factor of 3172/274,8283/353 = [GCF of 3172,8283]/[LCM of 274,353]= 1/96722
Therefore, the GCF of 3172/274,8283/353 is 1/96722.
To find the highest common factor of 3172,8283, we have to find the factors of both numbers and list the highest common factor.
The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283
The HCF of 3172,8283 is 1.
Lets's calculate GCF of 3172,8283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3172,8283 By Matching Biggest Common Factor Method
Now, list down the factors of 3172
:1,2,4,13,26,52,61,122,244,793,1586,3172
Now, list down the factors of 8283
:1,3,11,33,251,753,2761,8283
Greatest Common Factor
We found the factors 3172,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 3172,8283 is 1.
Lets's calculate LCM of 274,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 96722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96722
Therefore, the GCF of Fractions 3172/274,8283/353 is 1/96722
Least Common Multiple of 274,353 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 274,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,353) x common factors =1 x 1 = 1
LCM(274,353) = ( 274 × 353 ) / 1
LCM(274,353) = 96722 / 1
LCM(274,353) = 96722
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3172/274, 8283/353
1. What is the HCF of 3172,8283?
The HCF of 3172,8283 is 1
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 3172/274, 8283/353?
Answer: GCF of Numerators as per given numbers 3172/274, 8283/353 is
GCF of Numerators i.e. for 3172,8283 is 1
LCM of denominators i.e. for 274,353 is 96722.
Thus, GCF of Fractions is 1/96722.Finally, GCF of Fractions for 3172/274, 8283/353 is 1/96722.