GCF of 8898/142, 6069/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8898/142, 6069/828 i.e 3/58788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8898/142, 6069/828.
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 8898/142,6069/828?
Given fractions are 8898/142,6069/828
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 8898/142,6069/828, numerators are 8898,6069
Denominators are 142,828
The GCF of 8898,6069 is 3 .
LCM of 142,828 is 58788.
The greatest common factor of 8898/142,6069/828 = [GCF of 8898,6069]/[LCM of 142,828]= 3/58788
Therefore, the GCF of 8898/142,6069/828 is 3/58788.
To find the highest common factor of 8898,6069, we have to find the factors of both numbers and list the highest common factor.
The factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 8898,6069 is 3.
Lets's calculate GCF of 8898,6069
| 3 | 8898, 6069 |
| 2966, 2023 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8898,6069 By Matching Biggest Common Factor Method
Now, list down the factors of 8898
:1,2,3,6,1483,2966,4449,8898
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 8898,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 8898,6069 is 3.
Lets's calculate LCM of 142,828
| 2 | 142, 828 |
| 71, 414 |
∴ So the LCM of the given numbers is 2 x 71 x 414 = 58788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58788
Therefore, the GCF of Fractions 8898/142,6069/828 is 3/58788
Least Common Multiple of 142,828 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 142,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,828) x common factors =2 x 1 = 2
LCM(142,828) = ( 142 × 828 ) / 2
LCM(142,828) = 117576 / 2
LCM(142,828) = 58788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8898/142, 6069/828
1. What is the HCF of 8898,6069?
The HCF of 8898,6069 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 8898/142, 6069/828?
Answer: GCF of Numerators as per given numbers 8898/142, 6069/828 is
GCF of Numerators i.e. for 8898,6069 is 3
LCM of denominators i.e. for 142,828 is 58788.
Thus, GCF of Fractions is 3/58788.Finally, GCF of Fractions for 8898/142, 6069/828 is 3/58788.