GCF of 3512/301, 1575/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3512/301, 1575/298 i.e 1/89698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3512/301, 1575/298.
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 3512/301,1575/298?
Given fractions are 3512/301,1575/298
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 3512/301,1575/298, numerators are 3512,1575
Denominators are 301,298
The GCF of 3512,1575 is 1 .
LCM of 301,298 is 89698.
The greatest common factor of 3512/301,1575/298 = [GCF of 3512,1575]/[LCM of 301,298]= 1/89698
Therefore, the GCF of 3512/301,1575/298 is 1/89698.
To find the highest common factor of 3512,1575, we have to find the factors of both numbers and list the highest common factor.
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
The HCF of 3512,1575 is 1.
Lets's calculate GCF of 3512,1575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3512,1575 By Matching Biggest Common Factor Method
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Now, list down the factors of 1575
:1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Greatest Common Factor
We found the factors 3512,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 3512,1575 is 1.
Lets's calculate LCM of 301,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 89698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89698
Therefore, the GCF of Fractions 3512/301,1575/298 is 1/89698
Least Common Multiple of 301,298 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 301,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,298) x common factors =1 x 1 = 1
LCM(301,298) = ( 301 × 298 ) / 1
LCM(301,298) = 89698 / 1
LCM(301,298) = 89698
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FAQs on GCF of Fractions of 3512/301, 1575/298
1. What is the HCF of 3512,1575?
The HCF of 3512,1575 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 3512/301, 1575/298?
Answer: GCF of Numerators as per given numbers 3512/301, 1575/298 is
GCF of Numerators i.e. for 3512,1575 is 1
LCM of denominators i.e. for 301,298 is 89698.
Thus, GCF of Fractions is 1/89698.Finally, GCF of Fractions for 3512/301, 1575/298 is 1/89698.