GCF of 318/61, 617/1173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 318/61, 617/1173 i.e 1/71553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/61, 617/1173.
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 318/61,617/1173?
Given fractions are 318/61,617/1173
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 318/61,617/1173, numerators are 318,617
Denominators are 61,1173
The GCF of 318,617 is 1 .
LCM of 61,1173 is 71553.
The greatest common factor of 318/61,617/1173 = [GCF of 318,617]/[LCM of 61,1173]= 1/71553
Therefore, the GCF of 318/61,617/1173 is 1/71553.
To find the highest common factor of 318,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The factors of 617 are 1, 617
The HCF of 318,617 is 1.
Lets's calculate GCF of 318,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 318,617 By Matching Biggest Common Factor Method
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 318,617 . The biggest common factor number is the GCF number.
So the greatest common factor 318,617 is 1.
Lets's calculate LCM of 61,1173
Given numbers has no common factors except 1. So, there LCM is their product i.e 71553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71553
Therefore, the GCF of Fractions 318/61,617/1173 is 1/71553
Least Common Multiple of 61,1173 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 61,1173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,1173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,1173) x common factors =1 x 1 = 1
LCM(61,1173) = ( 61 × 1173 ) / 1
LCM(61,1173) = 71553 / 1
LCM(61,1173) = 71553
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FAQs on GCF of Fractions of 318/61, 617/1173
1. What is the HCF of 318,617?
The HCF of 318,617 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 318/61, 617/1173?
Answer: GCF of Numerators as per given numbers 318/61, 617/1173 is
GCF of Numerators i.e. for 318,617 is 1
LCM of denominators i.e. for 61,1173 is 71553.
Thus, GCF of Fractions is 1/71553.Finally, GCF of Fractions for 318/61, 617/1173 is 1/71553.