GCF of 61/155, 3301/1231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/155, 3301/1231 i.e 1/190805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/155, 3301/1231.
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 61/155,3301/1231?
Given fractions are 61/155,3301/1231
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 61/155,3301/1231, numerators are 61,3301
Denominators are 155,1231
The GCF of 61,3301 is 1 .
LCM of 155,1231 is 190805.
The greatest common factor of 61/155,3301/1231 = [GCF of 61,3301]/[LCM of 155,1231]= 1/190805
Therefore, the GCF of 61/155,3301/1231 is 1/190805.
To find the highest common factor of 61,3301, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 3301 are 1, 3301
The HCF of 61,3301 is 1.
Lets's calculate GCF of 61,3301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,3301 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 3301
:1,3301
Greatest Common Factor
We found the factors 61,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 61,3301 is 1.
Lets's calculate LCM of 155,1231
Given numbers has no common factors except 1. So, there LCM is their product i.e 190805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190805
Therefore, the GCF of Fractions 61/155,3301/1231 is 1/190805
Least Common Multiple of 155,1231 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 155,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,1231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,1231) x common factors =1 x 1 = 1
LCM(155,1231) = ( 155 × 1231 ) / 1
LCM(155,1231) = 190805 / 1
LCM(155,1231) = 190805
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FAQs on GCF of Fractions of 61/155, 3301/1231
1. What is the HCF of 61,3301?
The HCF of 61,3301 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 61/155, 3301/1231?
Answer: GCF of Numerators as per given numbers 61/155, 3301/1231 is
GCF of Numerators i.e. for 61,3301 is 1
LCM of denominators i.e. for 155,1231 is 190805.
Thus, GCF of Fractions is 1/190805.Finally, GCF of Fractions for 61/155, 3301/1231 is 1/190805.