GCF of 613/10, 214/7683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 613/10, 214/7683 i.e 1/76830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/10, 214/7683.
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 613/10,214/7683?
Given fractions are 613/10,214/7683
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 613/10,214/7683, numerators are 613,214
Denominators are 10,7683
The GCF of 613,214 is 1 .
LCM of 10,7683 is 76830.
The greatest common factor of 613/10,214/7683 = [GCF of 613,214]/[LCM of 10,7683]= 1/76830
Therefore, the GCF of 613/10,214/7683 is 1/76830.
To find the highest common factor of 613,214, we have to find the factors of both numbers and list the highest common factor.
The factors of 613 are 1, 613
The factors of 214 are 1, 2, 107, 214
The HCF of 613,214 is 1.
Lets's calculate GCF of 613,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 613,214 By Matching Biggest Common Factor Method
Now, list down the factors of 613
:1,613
Now, list down the factors of 214
:1,2,107,214
Greatest Common Factor
We found the factors 613,214 . The biggest common factor number is the GCF number.
So the greatest common factor 613,214 is 1.
Lets's calculate LCM of 10,7683
Given numbers has no common factors except 1. So, there LCM is their product i.e 76830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76830
Therefore, the GCF of Fractions 613/10,214/7683 is 1/76830
Least Common Multiple of 10,7683 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 10,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,7683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,7683) x common factors =1 x 1 = 1
LCM(10,7683) = ( 10 × 7683 ) / 1
LCM(10,7683) = 76830 / 1
LCM(10,7683) = 76830
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FAQs on GCF of Fractions of 613/10, 214/7683
1. What is the HCF of 613,214?
The HCF of 613,214 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 613/10, 214/7683?
Answer: GCF of Numerators as per given numbers 613/10, 214/7683 is
GCF of Numerators i.e. for 613,214 is 1
LCM of denominators i.e. for 10,7683 is 76830.
Thus, GCF of Fractions is 1/76830.Finally, GCF of Fractions for 613/10, 214/7683 is 1/76830.