GCF of 8793/828, 7251/8614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8793/828, 7251/8614 i.e 3/3566196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8793/828, 7251/8614.
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 8793/828,7251/8614?
Given fractions are 8793/828,7251/8614
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 8793/828,7251/8614, numerators are 8793,7251
Denominators are 828,8614
The GCF of 8793,7251 is 3 .
LCM of 828,8614 is 3566196.
The greatest common factor of 8793/828,7251/8614 = [GCF of 8793,7251]/[LCM of 828,8614]= 3/3566196
Therefore, the GCF of 8793/828,7251/8614 is 3/3566196.
To find the highest common factor of 8793,7251, we have to find the factors of both numbers and list the highest common factor.
The factors of 8793 are 1, 3, 9, 977, 2931, 8793
The factors of 7251 are 1, 3, 2417, 7251
The HCF of 8793,7251 is 3.
Lets's calculate GCF of 8793,7251
| 3 | 8793, 7251 |
| 2931, 2417 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8793,7251 By Matching Biggest Common Factor Method
Now, list down the factors of 8793
:1,3,9,977,2931,8793
Now, list down the factors of 7251
:1,3,2417,7251
Greatest Common Factor
We found the factors 8793,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 8793,7251 is 3.
Lets's calculate LCM of 828,8614
| 2 | 828, 8614 |
| 414, 4307 |
∴ So the LCM of the given numbers is 2 x 414 x 4307 = 3566196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3566196
Therefore, the GCF of Fractions 8793/828,7251/8614 is 3/3566196
Least Common Multiple of 828,8614 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 828,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,8614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,8614) x common factors =2 x 1 = 2
LCM(828,8614) = ( 828 × 8614 ) / 2
LCM(828,8614) = 7132392 / 2
LCM(828,8614) = 3566196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8793/828, 7251/8614
1. What is the HCF of 8793,7251?
The HCF of 8793,7251 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 8793/828, 7251/8614?
Answer: GCF of Numerators as per given numbers 8793/828, 7251/8614 is
GCF of Numerators i.e. for 8793,7251 is 3
LCM of denominators i.e. for 828,8614 is 3566196.
Thus, GCF of Fractions is 3/3566196.Finally, GCF of Fractions for 8793/828, 7251/8614 is 3/3566196.