GCF of 618/758, 8813/626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/758, 8813/626 i.e 1/237254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/758, 8813/626.
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 618/758,8813/626?
Given fractions are 618/758,8813/626
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 618/758,8813/626, numerators are 618,8813
Denominators are 758,626
The GCF of 618,8813 is 1 .
LCM of 758,626 is 237254.
The greatest common factor of 618/758,8813/626 = [GCF of 618,8813]/[LCM of 758,626]= 1/237254
Therefore, the GCF of 618/758,8813/626 is 1/237254.
To find the highest common factor of 618,8813, 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 8813 are 1, 7, 1259, 8813
The HCF of 618,8813 is 1.
Lets's calculate GCF of 618,8813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 618,8813 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 8813
:1,7,1259,8813
Greatest Common Factor
We found the factors 618,8813 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8813 is 1.
Lets's calculate LCM of 758,626
| 2 | 758, 626 |
| 379, 313 |
∴ So the LCM of the given numbers is 2 x 379 x 313 = 237254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237254
Therefore, the GCF of Fractions 618/758,8813/626 is 1/237254
Least Common Multiple of 758,626 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 758,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,626) x common factors =2 x 1 = 2
LCM(758,626) = ( 758 × 626 ) / 2
LCM(758,626) = 474508 / 2
LCM(758,626) = 237254
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FAQs on GCF of Fractions of 618/758, 8813/626
1. What is the HCF of 618,8813?
The HCF of 618,8813 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 618/758, 8813/626?
Answer: GCF of Numerators as per given numbers 618/758, 8813/626 is
GCF of Numerators i.e. for 618,8813 is 1
LCM of denominators i.e. for 758,626 is 237254.
Thus, GCF of Fractions is 1/237254.Finally, GCF of Fractions for 618/758, 8813/626 is 1/237254.