GCF of 3314/282, 1337/6181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3314/282, 1337/6181 i.e 1/1743042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3314/282, 1337/6181.
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 3314/282,1337/6181?
Given fractions are 3314/282,1337/6181
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 3314/282,1337/6181, numerators are 3314,1337
Denominators are 282,6181
The GCF of 3314,1337 is 1 .
LCM of 282,6181 is 1743042.
The greatest common factor of 3314/282,1337/6181 = [GCF of 3314,1337]/[LCM of 282,6181]= 1/1743042
Therefore, the GCF of 3314/282,1337/6181 is 1/1743042.
To find the highest common factor of 3314,1337, we have to find the factors of both numbers and list the highest common factor.
The factors of 3314 are 1, 2, 1657, 3314
The factors of 1337 are 1, 7, 191, 1337
The HCF of 3314,1337 is 1.
Lets's calculate GCF of 3314,1337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3314,1337 By Matching Biggest Common Factor Method
Now, list down the factors of 3314
:1,2,1657,3314
Now, list down the factors of 1337
:1,7,191,1337
Greatest Common Factor
We found the factors 3314,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,1337 is 1.
Lets's calculate LCM of 282,6181
Given numbers has no common factors except 1. So, there LCM is their product i.e 1743042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1743042
Therefore, the GCF of Fractions 3314/282,1337/6181 is 1/1743042
Least Common Multiple of 282,6181 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 282,6181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,6181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,6181) x common factors =1 x 1 = 1
LCM(282,6181) = ( 282 × 6181 ) / 1
LCM(282,6181) = 1743042 / 1
LCM(282,6181) = 1743042
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FAQs on GCF of Fractions of 3314/282, 1337/6181
1. What is the HCF of 3314,1337?
The HCF of 3314,1337 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 3314/282, 1337/6181?
Answer: GCF of Numerators as per given numbers 3314/282, 1337/6181 is
GCF of Numerators i.e. for 3314,1337 is 1
LCM of denominators i.e. for 282,6181 is 1743042.
Thus, GCF of Fractions is 1/1743042.Finally, GCF of Fractions for 3314/282, 1337/6181 is 1/1743042.