GCF of 4170/828, 6927/9284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4170/828, 6927/9284 i.e 3/1921788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4170/828, 6927/9284.
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 4170/828,6927/9284?
Given fractions are 4170/828,6927/9284
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 4170/828,6927/9284, numerators are 4170,6927
Denominators are 828,9284
The GCF of 4170,6927 is 3 .
LCM of 828,9284 is 1921788.
The greatest common factor of 4170/828,6927/9284 = [GCF of 4170,6927]/[LCM of 828,9284]= 3/1921788
Therefore, the GCF of 4170/828,6927/9284 is 3/1921788.
To find the highest common factor of 4170,6927, we have to find the factors of both numbers and list the highest common factor.
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The factors of 6927 are 1, 3, 2309, 6927
The HCF of 4170,6927 is 3.
Lets's calculate GCF of 4170,6927
| 3 | 4170, 6927 |
| 1390, 2309 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4170,6927 By Matching Biggest Common Factor Method
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Now, list down the factors of 6927
:1,3,2309,6927
Greatest Common Factor
We found the factors 4170,6927 . The biggest common factor number is the GCF number.
So the greatest common factor 4170,6927 is 3.
Lets's calculate LCM of 828,9284
| 2 | 828, 9284 |
| 2 | 414, 4642 |
| 207, 2321 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 2321 = 1921788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1921788
Therefore, the GCF of Fractions 4170/828,6927/9284 is 3/1921788
Least Common Multiple of 828,9284 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 828,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,9284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,9284) x common factors =4 x 1 = 4
LCM(828,9284) = ( 828 × 9284 ) / 4
LCM(828,9284) = 7687152 / 4
LCM(828,9284) = 1921788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4170/828, 6927/9284
1. What is the HCF of 4170,6927?
The HCF of 4170,6927 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 4170/828, 6927/9284?
Answer: GCF of Numerators as per given numbers 4170/828, 6927/9284 is
GCF of Numerators i.e. for 4170,6927 is 3
LCM of denominators i.e. for 828,9284 is 1921788.
Thus, GCF of Fractions is 3/1921788.Finally, GCF of Fractions for 4170/828, 6927/9284 is 3/1921788.