GCF of 62/138, 997/306, 287/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/138, 997/306, 287/154 i.e 1/541926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/138, 997/306, 287/154.
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 62/138,997/306,287/154?
Given fractions are 62/138,997/306,287/154
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 62/138,997/306,287/154, numerators are 62,997,287
Denominators are 138,306,154
The GCF of 62,997,287 is 1 .
LCM of 138,306,154 is 541926.
The greatest common factor of 62/138,997/306,287/154 = [GCF of 62,997,287]/[LCM of 138,306,154]= 1/541926
Therefore, the GCF of 62/138,997/306,287/154 is 1/541926.
To find the highest common factor of 62,997,287, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 997 are 1, 997
The factors of 287 are 1, 7, 41, 287
The HCF of 62,997,287 is 1.
Lets's calculate GCF of 62,997,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,997,287 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 997
:1,997
Now, list down the factors of 287
:1,7,41,287
Greatest Common Factor
We found the factors 62,997,287 . The biggest common factor number is the GCF number.
So the greatest common factor 62,997,287 is 1.
Lets's calculate LCM of 138,306,154
| 2 | 138, 306, 154 |
| 3 | 69, 153, 77 |
| 23, 51, 77 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 51 x 77 = 541926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541926
Therefore, the GCF of Fractions 62/138,997/306,287/154 is 1/541926
Least Common Multiple of 138,306,154 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 138,306,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,306,154) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(138,306,154) x common factors =2 x 6 = 12
LCM(138,306,154) = ( 138 × 306 × 154 ) / 12
LCM(138,306,154) = 6503112 / 12
LCM(138,306,154) = 541926
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FAQs on GCF of Fractions of 62/138, 997/306, 287/154
1. What is the HCF of 62,997,287?
The HCF of 62,997,287 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 62/138, 997/306, 287/154?
Answer: GCF of Numerators as per given numbers 62/138, 997/306, 287/154 is
GCF of Numerators i.e. for 62,997,287 is 1
LCM of denominators i.e. for 138,306,154 is 541926.
Thus, GCF of Fractions is 1/541926.Finally, GCF of Fractions for 62/138, 997/306, 287/154 is 1/541926.