GCF of 2319/409, 2653/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2319/409, 2653/418 i.e 1/170962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2319/409, 2653/418.
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 2319/409,2653/418?
Given fractions are 2319/409,2653/418
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 2319/409,2653/418, numerators are 2319,2653
Denominators are 409,418
The GCF of 2319,2653 is 1 .
LCM of 409,418 is 170962.
The greatest common factor of 2319/409,2653/418 = [GCF of 2319,2653]/[LCM of 409,418]= 1/170962
Therefore, the GCF of 2319/409,2653/418 is 1/170962.
To find the highest common factor of 2319,2653, we have to find the factors of both numbers and list the highest common factor.
The factors of 2319 are 1, 3, 773, 2319
The factors of 2653 are 1, 7, 379, 2653
The HCF of 2319,2653 is 1.
Lets's calculate GCF of 2319,2653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2319,2653 By Matching Biggest Common Factor Method
Now, list down the factors of 2319
:1,3,773,2319
Now, list down the factors of 2653
:1,7,379,2653
Greatest Common Factor
We found the factors 2319,2653 . The biggest common factor number is the GCF number.
So the greatest common factor 2319,2653 is 1.
Lets's calculate LCM of 409,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 170962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170962
Therefore, the GCF of Fractions 2319/409,2653/418 is 1/170962
Least Common Multiple of 409,418 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 409,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,418) x common factors =1 x 1 = 1
LCM(409,418) = ( 409 × 418 ) / 1
LCM(409,418) = 170962 / 1
LCM(409,418) = 170962
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FAQs on GCF of Fractions of 2319/409, 2653/418
1. What is the HCF of 2319,2653?
The HCF of 2319,2653 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 2319/409, 2653/418?
Answer: GCF of Numerators as per given numbers 2319/409, 2653/418 is
GCF of Numerators i.e. for 2319,2653 is 1
LCM of denominators i.e. for 409,418 is 170962.
Thus, GCF of Fractions is 1/170962.Finally, GCF of Fractions for 2319/409, 2653/418 is 1/170962.