GCF of 8254/618, 4774/2188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8254/618, 4774/2188 i.e 2/676092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8254/618, 4774/2188.
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 8254/618,4774/2188?
Given fractions are 8254/618,4774/2188
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 8254/618,4774/2188, numerators are 8254,4774
Denominators are 618,2188
The GCF of 8254,4774 is 2 .
LCM of 618,2188 is 676092.
The greatest common factor of 8254/618,4774/2188 = [GCF of 8254,4774]/[LCM of 618,2188]= 2/676092
Therefore, the GCF of 8254/618,4774/2188 is 2/676092.
To find the highest common factor of 8254,4774, we have to find the factors of both numbers and list the highest common factor.
The factors of 8254 are 1, 2, 4127, 8254
The factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The HCF of 8254,4774 is 2.
Lets's calculate GCF of 8254,4774
| 2 | 8254, 4774 |
| 4127, 2387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8254,4774 By Matching Biggest Common Factor Method
Now, list down the factors of 8254
:1,2,4127,8254
Now, list down the factors of 4774
:1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Greatest Common Factor
We found the factors 8254,4774 . The biggest common factor number is the GCF number.
So the greatest common factor 8254,4774 is 2.
Lets's calculate LCM of 618,2188
| 2 | 618, 2188 |
| 309, 1094 |
∴ So the LCM of the given numbers is 2 x 309 x 1094 = 676092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/676092
Therefore, the GCF of Fractions 8254/618,4774/2188 is 2/676092
Least Common Multiple of 618,2188 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 618,2188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2188) x common factors =2 x 1 = 2
LCM(618,2188) = ( 618 × 2188 ) / 2
LCM(618,2188) = 1352184 / 2
LCM(618,2188) = 676092
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FAQs on GCF of Fractions of 8254/618, 4774/2188
1. What is the HCF of 8254,4774?
The HCF of 8254,4774 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 8254/618, 4774/2188?
Answer: GCF of Numerators as per given numbers 8254/618, 4774/2188 is
GCF of Numerators i.e. for 8254,4774 is 2
LCM of denominators i.e. for 618,2188 is 676092.
Thus, GCF of Fractions is 2/676092.Finally, GCF of Fractions for 8254/618, 4774/2188 is 2/676092.