GCF of 8775/470, 6025/6027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8775/470, 6025/6027 i.e 25/2832690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8775/470, 6025/6027.
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 8775/470,6025/6027?
Given fractions are 8775/470,6025/6027
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 8775/470,6025/6027, numerators are 8775,6025
Denominators are 470,6027
The GCF of 8775,6025 is 25 .
LCM of 470,6027 is 2832690.
The greatest common factor of 8775/470,6025/6027 = [GCF of 8775,6025]/[LCM of 470,6027]= 25/2832690
Therefore, the GCF of 8775/470,6025/6027 is 25/2832690.
To find the highest common factor of 8775,6025, we have to find the factors of both numbers and list the highest common factor.
The factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The factors of 6025 are 1, 5, 25, 241, 1205, 6025
The HCF of 8775,6025 is 25.
Lets's calculate GCF of 8775,6025
| 5 | 8775, 6025 |
| 5 | 1755, 1205 |
| 351, 241 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 8775,6025 By Matching Biggest Common Factor Method
Now, list down the factors of 8775
:1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Now, list down the factors of 6025
:1,5,25,241,1205,6025
Greatest Common Factor
We found the factors 8775,6025 . The biggest common factor number is the GCF number.
So the greatest common factor 8775,6025 is 25.
Lets's calculate LCM of 470,6027
Given numbers has no common factors except 1. So, there LCM is their product i.e 2832690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2832690
Therefore, the GCF of Fractions 8775/470,6025/6027 is 25/2832690
Least Common Multiple of 470,6027 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 470,6027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,6027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,6027) x common factors =1 x 1 = 1
LCM(470,6027) = ( 470 × 6027 ) / 1
LCM(470,6027) = 2832690 / 1
LCM(470,6027) = 2832690
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FAQs on GCF of Fractions of 8775/470, 6025/6027
1. What is the HCF of 8775,6025?
The HCF of 8775,6025 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 8775/470, 6025/6027?
Answer: GCF of Numerators as per given numbers 8775/470, 6025/6027 is
GCF of Numerators i.e. for 8775,6025 is 25
LCM of denominators i.e. for 470,6027 is 2832690.
Thus, GCF of Fractions is 25/2832690.Finally, GCF of Fractions for 8775/470, 6025/6027 is 25/2832690.