GCF of 2368/290, 7131/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2368/290, 7131/513 i.e 1/148770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2368/290, 7131/513.
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 2368/290,7131/513?
Given fractions are 2368/290,7131/513
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 2368/290,7131/513, numerators are 2368,7131
Denominators are 290,513
The GCF of 2368,7131 is 1 .
LCM of 290,513 is 148770.
The greatest common factor of 2368/290,7131/513 = [GCF of 2368,7131]/[LCM of 290,513]= 1/148770
Therefore, the GCF of 2368/290,7131/513 is 1/148770.
To find the highest common factor of 2368,7131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
The factors of 7131 are 1, 3, 2377, 7131
The HCF of 2368,7131 is 1.
Lets's calculate GCF of 2368,7131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2368,7131 By Matching Biggest Common Factor Method
Now, list down the factors of 2368
:1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Now, list down the factors of 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 2368,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,7131 is 1.
Lets's calculate LCM of 290,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 148770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148770
Therefore, the GCF of Fractions 2368/290,7131/513 is 1/148770
Least Common Multiple of 290,513 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 290,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,513) x common factors =1 x 1 = 1
LCM(290,513) = ( 290 × 513 ) / 1
LCM(290,513) = 148770 / 1
LCM(290,513) = 148770
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FAQs on GCF of Fractions of 2368/290, 7131/513
1. What is the HCF of 2368,7131?
The HCF of 2368,7131 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 2368/290, 7131/513?
Answer: GCF of Numerators as per given numbers 2368/290, 7131/513 is
GCF of Numerators i.e. for 2368,7131 is 1
LCM of denominators i.e. for 290,513 is 148770.
Thus, GCF of Fractions is 1/148770.Finally, GCF of Fractions for 2368/290, 7131/513 is 1/148770.