GCF of 613/691, 195/641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 613/691, 195/641 i.e 1/442931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/691, 195/641.
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 613/691,195/641?
Given fractions are 613/691,195/641
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 613/691,195/641, numerators are 613,195
Denominators are 691,641
The GCF of 613,195 is 1 .
LCM of 691,641 is 442931.
The greatest common factor of 613/691,195/641 = [GCF of 613,195]/[LCM of 691,641]= 1/442931
Therefore, the GCF of 613/691,195/641 is 1/442931.
To find the highest common factor of 613,195, 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 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 613,195 is 1.
Lets's calculate GCF of 613,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 613,195 By Matching Biggest Common Factor Method
Now, list down the factors of 613
:1,613
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 613,195 . The biggest common factor number is the GCF number.
So the greatest common factor 613,195 is 1.
Lets's calculate LCM of 691,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 442931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442931
Therefore, the GCF of Fractions 613/691,195/641 is 1/442931
Least Common Multiple of 691,641 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 691,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,641) x common factors =1 x 1 = 1
LCM(691,641) = ( 691 × 641 ) / 1
LCM(691,641) = 442931 / 1
LCM(691,641) = 442931
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FAQs on GCF of Fractions of 613/691, 195/641
1. What is the HCF of 613,195?
The HCF of 613,195 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 613/691, 195/641?
Answer: GCF of Numerators as per given numbers 613/691, 195/641 is
GCF of Numerators i.e. for 613,195 is 1
LCM of denominators i.e. for 691,641 is 442931.
Thus, GCF of Fractions is 1/442931.Finally, GCF of Fractions for 613/691, 195/641 is 1/442931.