GCF of 7525/164, 9253/5666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7525/164, 9253/5666 i.e 1/464612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7525/164, 9253/5666.
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 7525/164,9253/5666?
Given fractions are 7525/164,9253/5666
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 7525/164,9253/5666, numerators are 7525,9253
Denominators are 164,5666
The GCF of 7525,9253 is 1 .
LCM of 164,5666 is 464612.
The greatest common factor of 7525/164,9253/5666 = [GCF of 7525,9253]/[LCM of 164,5666]= 1/464612
Therefore, the GCF of 7525/164,9253/5666 is 1/464612.
To find the highest common factor of 7525,9253, we have to find the factors of both numbers and list the highest common factor.
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The factors of 9253 are 1, 19, 487, 9253
The HCF of 7525,9253 is 1.
Lets's calculate GCF of 7525,9253
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7525,9253 By Matching Biggest Common Factor Method
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Now, list down the factors of 9253
:1,19,487,9253
Greatest Common Factor
We found the factors 7525,9253 . The biggest common factor number is the GCF number.
So the greatest common factor 7525,9253 is 1.
Lets's calculate LCM of 164,5666
| 2 | 164, 5666 |
| 82, 2833 |
∴ So the LCM of the given numbers is 2 x 82 x 2833 = 464612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464612
Therefore, the GCF of Fractions 7525/164,9253/5666 is 1/464612
Least Common Multiple of 164,5666 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 164,5666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,5666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,5666) x common factors =2 x 1 = 2
LCM(164,5666) = ( 164 × 5666 ) / 2
LCM(164,5666) = 929224 / 2
LCM(164,5666) = 464612
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FAQs on GCF of Fractions of 7525/164, 9253/5666
1. What is the HCF of 7525,9253?
The HCF of 7525,9253 is 1
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 7525/164, 9253/5666?
Answer: GCF of Numerators as per given numbers 7525/164, 9253/5666 is
GCF of Numerators i.e. for 7525,9253 is 1
LCM of denominators i.e. for 164,5666 is 464612.
Thus, GCF of Fractions is 1/464612.Finally, GCF of Fractions for 7525/164, 9253/5666 is 1/464612.