GCF of 60/172, 34/405, 841/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/172, 34/405, 841/287 i.e 1/19992420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/172, 34/405, 841/287.
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 60/172,34/405,841/287?
Given fractions are 60/172,34/405,841/287
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 60/172,34/405,841/287, numerators are 60,34,841
Denominators are 172,405,287
The GCF of 60,34,841 is 1 .
LCM of 172,405,287 is 19992420.
The greatest common factor of 60/172,34/405,841/287 = [GCF of 60,34,841]/[LCM of 172,405,287]= 1/19992420
Therefore, the GCF of 60/172,34/405,841/287 is 1/19992420.
To find the highest common factor of 60,34,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 34 are 1, 2, 17, 34
The factors of 841 are 1, 29, 841
The HCF of 60,34,841 is 1.
Lets's calculate GCF of 60,34,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 60,34,841 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 60,34,841 . The biggest common factor number is the GCF number.
So the greatest common factor 60,34,841 is 1.
Lets's calculate LCM of 172,405,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 19992420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19992420
Therefore, the GCF of Fractions 60/172,34/405,841/287 is 1/19992420
Least Common Multiple of 172,405,287 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 172,405,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,405,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,405,287) x common factors =1 x 1 = 1
LCM(172,405,287) = ( 172 × 405 × 287 ) / 1
LCM(172,405,287) = 19992420 / 1
LCM(172,405,287) = 19992420
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FAQs on GCF of Fractions of 60/172, 34/405, 841/287
1. What is the HCF of 60,34,841?
The HCF of 60,34,841 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 60/172, 34/405, 841/287?
Answer: GCF of Numerators as per given numbers 60/172, 34/405, 841/287 is
GCF of Numerators i.e. for 60,34,841 is 1
LCM of denominators i.e. for 172,405,287 is 19992420.
Thus, GCF of Fractions is 1/19992420.Finally, GCF of Fractions for 60/172, 34/405, 841/287 is 1/19992420.