GCF of 618/151, 788/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/151, 788/787 i.e 2/118837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/151, 788/787.
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 618/151,788/787?
Given fractions are 618/151,788/787
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 618/151,788/787, numerators are 618,788
Denominators are 151,787
The GCF of 618,788 is 2 .
LCM of 151,787 is 118837.
The greatest common factor of 618/151,788/787 = [GCF of 618,788]/[LCM of 151,787]= 2/118837
Therefore, the GCF of 618/151,788/787 is 2/118837.
To find the highest common factor of 618,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 618,788 is 2.
Lets's calculate GCF of 618,788
| 2 | 618, 788 |
| 309, 394 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 618,788 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 618,788 . The biggest common factor number is the GCF number.
So the greatest common factor 618,788 is 2.
Lets's calculate LCM of 151,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 118837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118837
Therefore, the GCF of Fractions 618/151,788/787 is 2/118837
Least Common Multiple of 151,787 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 151,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,787) x common factors =1 x 1 = 1
LCM(151,787) = ( 151 × 787 ) / 1
LCM(151,787) = 118837 / 1
LCM(151,787) = 118837
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FAQs on GCF of Fractions of 618/151, 788/787
1. What is the HCF of 618,788?
The HCF of 618,788 is 2
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 618/151, 788/787?
Answer: GCF of Numerators as per given numbers 618/151, 788/787 is
GCF of Numerators i.e. for 618,788 is 2
LCM of denominators i.e. for 151,787 is 118837.
Thus, GCF of Fractions is 2/118837.Finally, GCF of Fractions for 618/151, 788/787 is 2/118837.