GCF of 61/97, 205/10, 417/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/97, 205/10, 417/131 i.e 1/127070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/97, 205/10, 417/131.
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 61/97,205/10,417/131?
Given fractions are 61/97,205/10,417/131
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 61/97,205/10,417/131, numerators are 61,205,417
Denominators are 97,10,131
The GCF of 61,205,417 is 1 .
LCM of 97,10,131 is 127070.
The greatest common factor of 61/97,205/10,417/131 = [GCF of 61,205,417]/[LCM of 97,10,131]= 1/127070
Therefore, the GCF of 61/97,205/10,417/131 is 1/127070.
To find the highest common factor of 61,205,417, 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 205 are 1, 5, 41, 205
The factors of 417 are 1, 3, 139, 417
The HCF of 61,205,417 is 1.
Lets's calculate GCF of 61,205,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,205,417 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 205
:1,5,41,205
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 61,205,417 . The biggest common factor number is the GCF number.
So the greatest common factor 61,205,417 is 1.
Lets's calculate LCM of 97,10,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 127070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127070
Therefore, the GCF of Fractions 61/97,205/10,417/131 is 1/127070
Least Common Multiple of 97,10,131 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 97,10,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,10,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,10,131) x common factors =1 x 1 = 1
LCM(97,10,131) = ( 97 × 10 × 131 ) / 1
LCM(97,10,131) = 127070 / 1
LCM(97,10,131) = 127070
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FAQs on GCF of Fractions of 61/97, 205/10, 417/131
1. What is the HCF of 61,205,417?
The HCF of 61,205,417 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 61/97, 205/10, 417/131?
Answer: GCF of Numerators as per given numbers 61/97, 205/10, 417/131 is
GCF of Numerators i.e. for 61,205,417 is 1
LCM of denominators i.e. for 97,10,131 is 127070.
Thus, GCF of Fractions is 1/127070.Finally, GCF of Fractions for 61/97, 205/10, 417/131 is 1/127070.