GCF of 613/67, 314/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 613/67, 314/660 i.e 1/44220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/67, 314/660.
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 613/67,314/660?
Given fractions are 613/67,314/660
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 613/67,314/660, numerators are 613,314
Denominators are 67,660
The GCF of 613,314 is 1 .
LCM of 67,660 is 44220.
The greatest common factor of 613/67,314/660 = [GCF of 613,314]/[LCM of 67,660]= 1/44220
Therefore, the GCF of 613/67,314/660 is 1/44220.
To find the highest common factor of 613,314, 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 314 are 1, 2, 157, 314
The HCF of 613,314 is 1.
Lets's calculate GCF of 613,314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 613,314 By Matching Biggest Common Factor Method
Now, list down the factors of 613
:1,613
Now, list down the factors of 314
:1,2,157,314
Greatest Common Factor
We found the factors 613,314 . The biggest common factor number is the GCF number.
So the greatest common factor 613,314 is 1.
Lets's calculate LCM of 67,660
Given numbers has no common factors except 1. So, there LCM is their product i.e 44220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44220
Therefore, the GCF of Fractions 613/67,314/660 is 1/44220
Least Common Multiple of 67,660 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 67,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,660) x common factors =1 x 1 = 1
LCM(67,660) = ( 67 × 660 ) / 1
LCM(67,660) = 44220 / 1
LCM(67,660) = 44220
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 613/67, 314/660
1. What is the HCF of 613,314?
The HCF of 613,314 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 613/67, 314/660?
Answer: GCF of Numerators as per given numbers 613/67, 314/660 is
GCF of Numerators i.e. for 613,314 is 1
LCM of denominators i.e. for 67,660 is 44220.
Thus, GCF of Fractions is 1/44220.Finally, GCF of Fractions for 613/67, 314/660 is 1/44220.