GCF of 3152/530, 4325/8301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3152/530, 4325/8301 i.e 1/4399530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3152/530, 4325/8301.
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 3152/530,4325/8301?
Given fractions are 3152/530,4325/8301
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 3152/530,4325/8301, numerators are 3152,4325
Denominators are 530,8301
The GCF of 3152,4325 is 1 .
LCM of 530,8301 is 4399530.
The greatest common factor of 3152/530,4325/8301 = [GCF of 3152,4325]/[LCM of 530,8301]= 1/4399530
Therefore, the GCF of 3152/530,4325/8301 is 1/4399530.
To find the highest common factor of 3152,4325, we have to find the factors of both numbers and list the highest common factor.
The factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152
The factors of 4325 are 1, 5, 25, 173, 865, 4325
The HCF of 3152,4325 is 1.
Lets's calculate GCF of 3152,4325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3152,4325 By Matching Biggest Common Factor Method
Now, list down the factors of 3152
:1,2,4,8,16,197,394,788,1576,3152
Now, list down the factors of 4325
:1,5,25,173,865,4325
Greatest Common Factor
We found the factors 3152,4325 . The biggest common factor number is the GCF number.
So the greatest common factor 3152,4325 is 1.
Lets's calculate LCM of 530,8301
Given numbers has no common factors except 1. So, there LCM is their product i.e 4399530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4399530
Therefore, the GCF of Fractions 3152/530,4325/8301 is 1/4399530
Least Common Multiple of 530,8301 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 530,8301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,8301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,8301) x common factors =1 x 1 = 1
LCM(530,8301) = ( 530 × 8301 ) / 1
LCM(530,8301) = 4399530 / 1
LCM(530,8301) = 4399530
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FAQs on GCF of Fractions of 3152/530, 4325/8301
1. What is the HCF of 3152,4325?
The HCF of 3152,4325 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 3152/530, 4325/8301?
Answer: GCF of Numerators as per given numbers 3152/530, 4325/8301 is
GCF of Numerators i.e. for 3152,4325 is 1
LCM of denominators i.e. for 530,8301 is 4399530.
Thus, GCF of Fractions is 1/4399530.Finally, GCF of Fractions for 3152/530, 4325/8301 is 1/4399530.