GCF of 325/92, 975/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 325/92, 975/7132 i.e 325/164036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/92, 975/7132.
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 325/92,975/7132?
Given fractions are 325/92,975/7132
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 325/92,975/7132, numerators are 325,975
Denominators are 92,7132
The GCF of 325,975 is 325 .
LCM of 92,7132 is 164036.
The greatest common factor of 325/92,975/7132 = [GCF of 325,975]/[LCM of 92,7132]= 325/164036
Therefore, the GCF of 325/92,975/7132 is 325/164036.
To find the highest common factor of 325,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 325,975 is 325.
Lets's calculate GCF of 325,975
| 5 | 325, 975 |
| 5 | 65, 195 |
| 13 | 13, 39 |
| 1, 3 |
∴ So the GCF of the given numbers is 5 x 5 x 13 = 325
Greatest Common Factor of 325,975 By Matching Biggest Common Factor Method
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 325,975 . The biggest common factor number is the GCF number.
So the greatest common factor 325,975 is 325.
Lets's calculate LCM of 92,7132
| 2 | 92, 7132 |
| 2 | 46, 3566 |
| 23, 1783 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1783 = 164036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 325/164036
Therefore, the GCF of Fractions 325/92,975/7132 is 325/164036
Least Common Multiple of 92,7132 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 92,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,7132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,7132) x common factors =4 x 1 = 4
LCM(92,7132) = ( 92 × 7132 ) / 4
LCM(92,7132) = 656144 / 4
LCM(92,7132) = 164036
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FAQs on GCF of Fractions of 325/92, 975/7132
1. What is the HCF of 325,975?
The HCF of 325,975 is 325
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 325/92, 975/7132?
Answer: GCF of Numerators as per given numbers 325/92, 975/7132 is
GCF of Numerators i.e. for 325,975 is 325
LCM of denominators i.e. for 92,7132 is 164036.
Thus, GCF of Fractions is 325/164036.Finally, GCF of Fractions for 325/92, 975/7132 is 325/164036.