GCF of 524/95, 573/3292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 524/95, 573/3292 i.e 1/312740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/95, 573/3292.
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 524/95,573/3292?
Given fractions are 524/95,573/3292
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 524/95,573/3292, numerators are 524,573
Denominators are 95,3292
The GCF of 524,573 is 1 .
LCM of 95,3292 is 312740.
The greatest common factor of 524/95,573/3292 = [GCF of 524,573]/[LCM of 95,3292]= 1/312740
Therefore, the GCF of 524/95,573/3292 is 1/312740.
To find the highest common factor of 524,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 573 are 1, 3, 191, 573
The HCF of 524,573 is 1.
Lets's calculate GCF of 524,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 524,573 By Matching Biggest Common Factor Method
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 524,573 . The biggest common factor number is the GCF number.
So the greatest common factor 524,573 is 1.
Lets's calculate LCM of 95,3292
Given numbers has no common factors except 1. So, there LCM is their product i.e 312740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312740
Therefore, the GCF of Fractions 524/95,573/3292 is 1/312740
Least Common Multiple of 95,3292 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 95,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,3292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,3292) x common factors =1 x 1 = 1
LCM(95,3292) = ( 95 × 3292 ) / 1
LCM(95,3292) = 312740 / 1
LCM(95,3292) = 312740
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FAQs on GCF of Fractions of 524/95, 573/3292
1. What is the HCF of 524,573?
The HCF of 524,573 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 524/95, 573/3292?
Answer: GCF of Numerators as per given numbers 524/95, 573/3292 is
GCF of Numerators i.e. for 524,573 is 1
LCM of denominators i.e. for 95,3292 is 312740.
Thus, GCF of Fractions is 1/312740.Finally, GCF of Fractions for 524/95, 573/3292 is 1/312740.