GCF of 5825/890, 9357/9581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5825/890, 9357/9581 i.e 1/8527090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5825/890, 9357/9581.
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 5825/890,9357/9581?
Given fractions are 5825/890,9357/9581
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 5825/890,9357/9581, numerators are 5825,9357
Denominators are 890,9581
The GCF of 5825,9357 is 1 .
LCM of 890,9581 is 8527090.
The greatest common factor of 5825/890,9357/9581 = [GCF of 5825,9357]/[LCM of 890,9581]= 1/8527090
Therefore, the GCF of 5825/890,9357/9581 is 1/8527090.
To find the highest common factor of 5825,9357, we have to find the factors of both numbers and list the highest common factor.
The factors of 5825 are 1, 5, 25, 233, 1165, 5825
The factors of 9357 are 1, 3, 3119, 9357
The HCF of 5825,9357 is 1.
Lets's calculate GCF of 5825,9357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5825,9357 By Matching Biggest Common Factor Method
Now, list down the factors of 5825
:1,5,25,233,1165,5825
Now, list down the factors of 9357
:1,3,3119,9357
Greatest Common Factor
We found the factors 5825,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 5825,9357 is 1.
Lets's calculate LCM of 890,9581
Given numbers has no common factors except 1. So, there LCM is their product i.e 8527090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8527090
Therefore, the GCF of Fractions 5825/890,9357/9581 is 1/8527090
Least Common Multiple of 890,9581 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 890,9581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,9581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,9581) x common factors =1 x 1 = 1
LCM(890,9581) = ( 890 × 9581 ) / 1
LCM(890,9581) = 8527090 / 1
LCM(890,9581) = 8527090
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5825/890, 9357/9581
1. What is the HCF of 5825,9357?
The HCF of 5825,9357 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 5825/890, 9357/9581?
Answer: GCF of Numerators as per given numbers 5825/890, 9357/9581 is
GCF of Numerators i.e. for 5825,9357 is 1
LCM of denominators i.e. for 890,9581 is 8527090.
Thus, GCF of Fractions is 1/8527090.Finally, GCF of Fractions for 5825/890, 9357/9581 is 1/8527090.