GCF of 619/713, 2392/590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 619/713, 2392/590 i.e 1/420670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 619/713, 2392/590.
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 619/713,2392/590?
Given fractions are 619/713,2392/590
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 619/713,2392/590, numerators are 619,2392
Denominators are 713,590
The GCF of 619,2392 is 1 .
LCM of 713,590 is 420670.
The greatest common factor of 619/713,2392/590 = [GCF of 619,2392]/[LCM of 713,590]= 1/420670
Therefore, the GCF of 619/713,2392/590 is 1/420670.
To find the highest common factor of 619,2392, we have to find the factors of both numbers and list the highest common factor.
The factors of 619 are 1, 619
The factors of 2392 are 1, 2, 4, 8, 13, 23, 26, 46, 52, 92, 104, 184, 299, 598, 1196, 2392
The HCF of 619,2392 is 1.
Lets's calculate GCF of 619,2392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 619,2392 By Matching Biggest Common Factor Method
Now, list down the factors of 619
:1,619
Now, list down the factors of 2392
:1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392
Greatest Common Factor
We found the factors 619,2392 . The biggest common factor number is the GCF number.
So the greatest common factor 619,2392 is 1.
Lets's calculate LCM of 713,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 420670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420670
Therefore, the GCF of Fractions 619/713,2392/590 is 1/420670
Least Common Multiple of 713,590 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 713,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,590) x common factors =1 x 1 = 1
LCM(713,590) = ( 713 × 590 ) / 1
LCM(713,590) = 420670 / 1
LCM(713,590) = 420670
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FAQs on GCF of Fractions of 619/713, 2392/590
1. What is the HCF of 619,2392?
The HCF of 619,2392 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 619/713, 2392/590?
Answer: GCF of Numerators as per given numbers 619/713, 2392/590 is
GCF of Numerators i.e. for 619,2392 is 1
LCM of denominators i.e. for 713,590 is 420670.
Thus, GCF of Fractions is 1/420670.Finally, GCF of Fractions for 619/713, 2392/590 is 1/420670.