GCF of 9068/138, 8408/5169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9068/138, 8408/5169 i.e 4/237774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9068/138, 8408/5169.
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 9068/138,8408/5169?
Given fractions are 9068/138,8408/5169
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 9068/138,8408/5169, numerators are 9068,8408
Denominators are 138,5169
The GCF of 9068,8408 is 4 .
LCM of 138,5169 is 237774.
The greatest common factor of 9068/138,8408/5169 = [GCF of 9068,8408]/[LCM of 138,5169]= 4/237774
Therefore, the GCF of 9068/138,8408/5169 is 4/237774.
To find the highest common factor of 9068,8408, we have to find the factors of both numbers and list the highest common factor.
The factors of 9068 are 1, 2, 4, 2267, 4534, 9068
The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408
The HCF of 9068,8408 is 4.
Lets's calculate GCF of 9068,8408
| 2 | 9068, 8408 |
| 2 | 4534, 4204 |
| 2267, 2102 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9068,8408 By Matching Biggest Common Factor Method
Now, list down the factors of 9068
:1,2,4,2267,4534,9068
Now, list down the factors of 8408
:1,2,4,8,1051,2102,4204,8408
Greatest Common Factor
We found the factors 9068,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 9068,8408 is 4.
Lets's calculate LCM of 138,5169
| 3 | 138, 5169 |
| 46, 1723 |
∴ So the LCM of the given numbers is 3 x 46 x 1723 = 237774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/237774
Therefore, the GCF of Fractions 9068/138,8408/5169 is 4/237774
Least Common Multiple of 138,5169 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 138,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5169) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5169) x common factors =3 x 1 = 3
LCM(138,5169) = ( 138 × 5169 ) / 3
LCM(138,5169) = 713322 / 3
LCM(138,5169) = 237774
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FAQs on GCF of Fractions of 9068/138, 8408/5169
1. What is the HCF of 9068,8408?
The HCF of 9068,8408 is 4
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 9068/138, 8408/5169?
Answer: GCF of Numerators as per given numbers 9068/138, 8408/5169 is
GCF of Numerators i.e. for 9068,8408 is 4
LCM of denominators i.e. for 138,5169 is 237774.
Thus, GCF of Fractions is 4/237774.Finally, GCF of Fractions for 9068/138, 8408/5169 is 4/237774.