GCF of 7225/827, 2075/810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7225/827, 2075/810 i.e 25/669870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7225/827, 2075/810.
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 7225/827,2075/810?
Given fractions are 7225/827,2075/810
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 7225/827,2075/810, numerators are 7225,2075
Denominators are 827,810
The GCF of 7225,2075 is 25 .
LCM of 827,810 is 669870.
The greatest common factor of 7225/827,2075/810 = [GCF of 7225,2075]/[LCM of 827,810]= 25/669870
Therefore, the GCF of 7225/827,2075/810 is 25/669870.
To find the highest common factor of 7225,2075, we have to find the factors of both numbers and list the highest common factor.
The factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225
The factors of 2075 are 1, 5, 25, 83, 415, 2075
The HCF of 7225,2075 is 25.
Lets's calculate GCF of 7225,2075
| 5 | 7225, 2075 |
| 5 | 1445, 415 |
| 289, 83 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7225,2075 By Matching Biggest Common Factor Method
Now, list down the factors of 7225
:1,5,17,25,85,289,425,1445,7225
Now, list down the factors of 2075
:1,5,25,83,415,2075
Greatest Common Factor
We found the factors 7225,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 7225,2075 is 25.
Lets's calculate LCM of 827,810
Given numbers has no common factors except 1. So, there LCM is their product i.e 669870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/669870
Therefore, the GCF of Fractions 7225/827,2075/810 is 25/669870
Least Common Multiple of 827,810 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 827,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,810) x common factors =1 x 1 = 1
LCM(827,810) = ( 827 × 810 ) / 1
LCM(827,810) = 669870 / 1
LCM(827,810) = 669870
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FAQs on GCF of Fractions of 7225/827, 2075/810
1. What is the HCF of 7225,2075?
The HCF of 7225,2075 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 7225/827, 2075/810?
Answer: GCF of Numerators as per given numbers 7225/827, 2075/810 is
GCF of Numerators i.e. for 7225,2075 is 25
LCM of denominators i.e. for 827,810 is 669870.
Thus, GCF of Fractions is 25/669870.Finally, GCF of Fractions for 7225/827, 2075/810 is 25/669870.