GCF of 467/328, 7525/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 467/328, 7525/574 i.e 1/2296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/328, 7525/574.
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 467/328,7525/574?
Given fractions are 467/328,7525/574
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 467/328,7525/574, numerators are 467,7525
Denominators are 328,574
The GCF of 467,7525 is 1 .
LCM of 328,574 is 2296.
The greatest common factor of 467/328,7525/574 = [GCF of 467,7525]/[LCM of 328,574]= 1/2296
Therefore, the GCF of 467/328,7525/574 is 1/2296.
To find the highest common factor of 467,7525, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The HCF of 467,7525 is 1.
Lets's calculate GCF of 467,7525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 467,7525 By Matching Biggest Common Factor Method
Now, list down the factors of 467
:1,467
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Greatest Common Factor
We found the factors 467,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 467,7525 is 1.
Lets's calculate LCM of 328,574
| 2 | 328, 574 |
| 41 | 164, 287 |
| 4, 7 |
∴ So the LCM of the given numbers is 2 x 41 x 4 x 7 = 2296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2296
Therefore, the GCF of Fractions 467/328,7525/574 is 1/2296
Least Common Multiple of 328,574 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 328,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,574) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(328,574) x common factors =82 x 1 = 82
LCM(328,574) = ( 328 × 574 ) / 82
LCM(328,574) = 188272 / 82
LCM(328,574) = 2296
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FAQs on GCF of Fractions of 467/328, 7525/574
1. What is the HCF of 467,7525?
The HCF of 467,7525 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 467/328, 7525/574?
Answer: GCF of Numerators as per given numbers 467/328, 7525/574 is
GCF of Numerators i.e. for 467,7525 is 1
LCM of denominators i.e. for 328,574 is 2296.
Thus, GCF of Fractions is 1/2296.Finally, GCF of Fractions for 467/328, 7525/574 is 1/2296.