GCF of 9525/970, 2584/3557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9525/970, 2584/3557 i.e 1/3450290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9525/970, 2584/3557.
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 9525/970,2584/3557?
Given fractions are 9525/970,2584/3557
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 9525/970,2584/3557, numerators are 9525,2584
Denominators are 970,3557
The GCF of 9525,2584 is 1 .
LCM of 970,3557 is 3450290.
The greatest common factor of 9525/970,2584/3557 = [GCF of 9525,2584]/[LCM of 970,3557]= 1/3450290
Therefore, the GCF of 9525/970,2584/3557 is 1/3450290.
To find the highest common factor of 9525,2584, we have to find the factors of both numbers and list the highest common factor.
The factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525
The factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584
The HCF of 9525,2584 is 1.
Lets's calculate GCF of 9525,2584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9525,2584 By Matching Biggest Common Factor Method
Now, list down the factors of 9525
:1,3,5,15,25,75,127,381,635,1905,3175,9525
Now, list down the factors of 2584
:1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584
Greatest Common Factor
We found the factors 9525,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 9525,2584 is 1.
Lets's calculate LCM of 970,3557
Given numbers has no common factors except 1. So, there LCM is their product i.e 3450290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3450290
Therefore, the GCF of Fractions 9525/970,2584/3557 is 1/3450290
Least Common Multiple of 970,3557 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 970,3557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3557) x common factors =1 x 1 = 1
LCM(970,3557) = ( 970 × 3557 ) / 1
LCM(970,3557) = 3450290 / 1
LCM(970,3557) = 3450290
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FAQs on GCF of Fractions of 9525/970, 2584/3557
1. What is the HCF of 9525,2584?
The HCF of 9525,2584 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 9525/970, 2584/3557?
Answer: GCF of Numerators as per given numbers 9525/970, 2584/3557 is
GCF of Numerators i.e. for 9525,2584 is 1
LCM of denominators i.e. for 970,3557 is 3450290.
Thus, GCF of Fractions is 1/3450290.Finally, GCF of Fractions for 9525/970, 2584/3557 is 1/3450290.