GCF of 1439/988, 8232/3411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1439/988, 8232/3411 i.e 1/3370068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1439/988, 8232/3411.
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 1439/988,8232/3411?
Given fractions are 1439/988,8232/3411
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 1439/988,8232/3411, numerators are 1439,8232
Denominators are 988,3411
The GCF of 1439,8232 is 1 .
LCM of 988,3411 is 3370068.
The greatest common factor of 1439/988,8232/3411 = [GCF of 1439,8232]/[LCM of 988,3411]= 1/3370068
Therefore, the GCF of 1439/988,8232/3411 is 1/3370068.
To find the highest common factor of 1439,8232, we have to find the factors of both numbers and list the highest common factor.
The factors of 1439 are 1, 1439
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The HCF of 1439,8232 is 1.
Lets's calculate GCF of 1439,8232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1439,8232 By Matching Biggest Common Factor Method
Now, list down the factors of 1439
:1,1439
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Greatest Common Factor
We found the factors 1439,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 1439,8232 is 1.
Lets's calculate LCM of 988,3411
Given numbers has no common factors except 1. So, there LCM is their product i.e 3370068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3370068
Therefore, the GCF of Fractions 1439/988,8232/3411 is 1/3370068
Least Common Multiple of 988,3411 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 988,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,3411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,3411) x common factors =1 x 1 = 1
LCM(988,3411) = ( 988 × 3411 ) / 1
LCM(988,3411) = 3370068 / 1
LCM(988,3411) = 3370068
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FAQs on GCF of Fractions of 1439/988, 8232/3411
1. What is the HCF of 1439,8232?
The HCF of 1439,8232 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 1439/988, 8232/3411?
Answer: GCF of Numerators as per given numbers 1439/988, 8232/3411 is
GCF of Numerators i.e. for 1439,8232 is 1
LCM of denominators i.e. for 988,3411 is 3370068.
Thus, GCF of Fractions is 1/3370068.Finally, GCF of Fractions for 1439/988, 8232/3411 is 1/3370068.