GCF of 8825/825, 3075/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8825/825, 3075/870 i.e 25/47850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8825/825, 3075/870.
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 8825/825,3075/870?
Given fractions are 8825/825,3075/870
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 8825/825,3075/870, numerators are 8825,3075
Denominators are 825,870
The GCF of 8825,3075 is 25 .
LCM of 825,870 is 47850.
The greatest common factor of 8825/825,3075/870 = [GCF of 8825,3075]/[LCM of 825,870]= 25/47850
Therefore, the GCF of 8825/825,3075/870 is 25/47850.
To find the highest common factor of 8825,3075, we have to find the factors of both numbers and list the highest common factor.
The factors of 8825 are 1, 5, 25, 353, 1765, 8825
The factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075
The HCF of 8825,3075 is 25.
Lets's calculate GCF of 8825,3075
| 5 | 8825, 3075 |
| 5 | 1765, 615 |
| 353, 123 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8825,3075 By Matching Biggest Common Factor Method
Now, list down the factors of 8825
:1,5,25,353,1765,8825
Now, list down the factors of 3075
:1,3,5,15,25,41,75,123,205,615,1025,3075
Greatest Common Factor
We found the factors 8825,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 8825,3075 is 25.
Lets's calculate LCM of 825,870
| 3 | 825, 870 |
| 5 | 275, 290 |
| 55, 58 |
∴ So the LCM of the given numbers is 3 x 5 x 55 x 58 = 47850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/47850
Therefore, the GCF of Fractions 8825/825,3075/870 is 25/47850
Least Common Multiple of 825,870 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 825,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,870) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(825,870) x common factors =15 x 1 = 15
LCM(825,870) = ( 825 × 870 ) / 15
LCM(825,870) = 717750 / 15
LCM(825,870) = 47850
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8825/825, 3075/870
1. What is the HCF of 8825,3075?
The HCF of 8825,3075 is 25
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 8825/825, 3075/870?
Answer: GCF of Numerators as per given numbers 8825/825, 3075/870 is
GCF of Numerators i.e. for 8825,3075 is 25
LCM of denominators i.e. for 825,870 is 47850.
Thus, GCF of Fractions is 25/47850.Finally, GCF of Fractions for 8825/825, 3075/870 is 25/47850.