GCF of 3576/432, 7357/2797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3576/432, 7357/2797 i.e 1/1208304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3576/432, 7357/2797.
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 3576/432,7357/2797?
Given fractions are 3576/432,7357/2797
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 3576/432,7357/2797, numerators are 3576,7357
Denominators are 432,2797
The GCF of 3576,7357 is 1 .
LCM of 432,2797 is 1208304.
The greatest common factor of 3576/432,7357/2797 = [GCF of 3576,7357]/[LCM of 432,2797]= 1/1208304
Therefore, the GCF of 3576/432,7357/2797 is 1/1208304.
To find the highest common factor of 3576,7357, we have to find the factors of both numbers and list the highest common factor.
The factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576
The factors of 7357 are 1, 7, 1051, 7357
The HCF of 3576,7357 is 1.
Lets's calculate GCF of 3576,7357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3576,7357 By Matching Biggest Common Factor Method
Now, list down the factors of 3576
:1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576
Now, list down the factors of 7357
:1,7,1051,7357
Greatest Common Factor
We found the factors 3576,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 3576,7357 is 1.
Lets's calculate LCM of 432,2797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1208304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1208304
Therefore, the GCF of Fractions 3576/432,7357/2797 is 1/1208304
Least Common Multiple of 432,2797 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 432,2797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,2797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,2797) x common factors =1 x 1 = 1
LCM(432,2797) = ( 432 × 2797 ) / 1
LCM(432,2797) = 1208304 / 1
LCM(432,2797) = 1208304
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FAQs on GCF of Fractions of 3576/432, 7357/2797
1. What is the HCF of 3576,7357?
The HCF of 3576,7357 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 3576/432, 7357/2797?
Answer: GCF of Numerators as per given numbers 3576/432, 7357/2797 is
GCF of Numerators i.e. for 3576,7357 is 1
LCM of denominators i.e. for 432,2797 is 1208304.
Thus, GCF of Fractions is 1/1208304.Finally, GCF of Fractions for 3576/432, 7357/2797 is 1/1208304.