GCF of 5169/637, 8694/9023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5169/637, 8694/9023 i.e 3/821093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5169/637, 8694/9023.
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 5169/637,8694/9023?
Given fractions are 5169/637,8694/9023
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 5169/637,8694/9023, numerators are 5169,8694
Denominators are 637,9023
The GCF of 5169,8694 is 3 .
LCM of 637,9023 is 821093.
The greatest common factor of 5169/637,8694/9023 = [GCF of 5169,8694]/[LCM of 637,9023]= 3/821093
Therefore, the GCF of 5169/637,8694/9023 is 3/821093.
To find the highest common factor of 5169,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 5169 are 1, 3, 1723, 5169
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 5169,8694 is 3.
Lets's calculate GCF of 5169,8694
| 3 | 5169, 8694 |
| 1723, 2898 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5169,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 5169
:1,3,1723,5169
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 5169,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 5169,8694 is 3.
Lets's calculate LCM of 637,9023
| 7 | 637, 9023 |
| 91, 1289 |
∴ So the LCM of the given numbers is 7 x 91 x 1289 = 821093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/821093
Therefore, the GCF of Fractions 5169/637,8694/9023 is 3/821093
Least Common Multiple of 637,9023 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 637,9023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,9023) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(637,9023) x common factors =7 x 1 = 7
LCM(637,9023) = ( 637 × 9023 ) / 7
LCM(637,9023) = 5747651 / 7
LCM(637,9023) = 821093
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5169/637, 8694/9023
1. What is the HCF of 5169,8694?
The HCF of 5169,8694 is 3
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 5169/637, 8694/9023?
Answer: GCF of Numerators as per given numbers 5169/637, 8694/9023 is
GCF of Numerators i.e. for 5169,8694 is 3
LCM of denominators i.e. for 637,9023 is 821093.
Thus, GCF of Fractions is 3/821093.Finally, GCF of Fractions for 5169/637, 8694/9023 is 3/821093.