GCF of 2132/783, 2337/2498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2132/783, 2337/2498 i.e 41/1955934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2132/783, 2337/2498.
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 2132/783,2337/2498?
Given fractions are 2132/783,2337/2498
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 2132/783,2337/2498, numerators are 2132,2337
Denominators are 783,2498
The GCF of 2132,2337 is 41 .
LCM of 783,2498 is 1955934.
The greatest common factor of 2132/783,2337/2498 = [GCF of 2132,2337]/[LCM of 783,2498]= 41/1955934
Therefore, the GCF of 2132/783,2337/2498 is 41/1955934.
To find the highest common factor of 2132,2337, we have to find the factors of both numbers and list the highest common factor.
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337
The HCF of 2132,2337 is 41.
Lets's calculate GCF of 2132,2337
| 41 | 2132, 2337 |
| 52, 57 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 2132,2337 By Matching Biggest Common Factor Method
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Now, list down the factors of 2337
:1,3,19,41,57,123,779,2337
Greatest Common Factor
We found the factors 2132,2337 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,2337 is 41.
Lets's calculate LCM of 783,2498
Given numbers has no common factors except 1. So, there LCM is their product i.e 1955934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1955934
Therefore, the GCF of Fractions 2132/783,2337/2498 is 41/1955934
Least Common Multiple of 783,2498 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 783,2498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,2498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,2498) x common factors =1 x 1 = 1
LCM(783,2498) = ( 783 × 2498 ) / 1
LCM(783,2498) = 1955934 / 1
LCM(783,2498) = 1955934
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FAQs on GCF of Fractions of 2132/783, 2337/2498
1. What is the HCF of 2132,2337?
The HCF of 2132,2337 is 41
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 2132/783, 2337/2498?
Answer: GCF of Numerators as per given numbers 2132/783, 2337/2498 is
GCF of Numerators i.e. for 2132,2337 is 41
LCM of denominators i.e. for 783,2498 is 1955934.
Thus, GCF of Fractions is 41/1955934.Finally, GCF of Fractions for 2132/783, 2337/2498 is 41/1955934.