GCF of 3379/233, 8345/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3379/233, 8345/139 i.e 1/32387 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3379/233, 8345/139.
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 3379/233,8345/139?
Given fractions are 3379/233,8345/139
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 3379/233,8345/139, numerators are 3379,8345
Denominators are 233,139
The GCF of 3379,8345 is 1 .
LCM of 233,139 is 32387.
The greatest common factor of 3379/233,8345/139 = [GCF of 3379,8345]/[LCM of 233,139]= 1/32387
Therefore, the GCF of 3379/233,8345/139 is 1/32387.
To find the highest common factor of 3379,8345, we have to find the factors of both numbers and list the highest common factor.
The factors of 3379 are 1, 31, 109, 3379
The factors of 8345 are 1, 5, 1669, 8345
The HCF of 3379,8345 is 1.
Lets's calculate GCF of 3379,8345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3379,8345 By Matching Biggest Common Factor Method
Now, list down the factors of 3379
:1,31,109,3379
Now, list down the factors of 8345
:1,5,1669,8345
Greatest Common Factor
We found the factors 3379,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 3379,8345 is 1.
Lets's calculate LCM of 233,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 32387
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32387
Therefore, the GCF of Fractions 3379/233,8345/139 is 1/32387
Least Common Multiple of 233,139 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 233,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,139) x common factors =1 x 1 = 1
LCM(233,139) = ( 233 × 139 ) / 1
LCM(233,139) = 32387 / 1
LCM(233,139) = 32387
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FAQs on GCF of Fractions of 3379/233, 8345/139
1. What is the HCF of 3379,8345?
The HCF of 3379,8345 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 3379/233, 8345/139?
Answer: GCF of Numerators as per given numbers 3379/233, 8345/139 is
GCF of Numerators i.e. for 3379,8345 is 1
LCM of denominators i.e. for 233,139 is 32387.
Thus, GCF of Fractions is 1/32387.Finally, GCF of Fractions for 3379/233, 8345/139 is 1/32387.