GCF of 4756/493, 5601/7342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4756/493, 5601/7342 i.e 1/3619606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4756/493, 5601/7342.
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 4756/493,5601/7342?
Given fractions are 4756/493,5601/7342
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 4756/493,5601/7342, numerators are 4756,5601
Denominators are 493,7342
The GCF of 4756,5601 is 1 .
LCM of 493,7342 is 3619606.
The greatest common factor of 4756/493,5601/7342 = [GCF of 4756,5601]/[LCM of 493,7342]= 1/3619606
Therefore, the GCF of 4756/493,5601/7342 is 1/3619606.
To find the highest common factor of 4756,5601, we have to find the factors of both numbers and list the highest common factor.
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The factors of 5601 are 1, 3, 1867, 5601
The HCF of 4756,5601 is 1.
Lets's calculate GCF of 4756,5601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4756,5601 By Matching Biggest Common Factor Method
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Now, list down the factors of 5601
:1,3,1867,5601
Greatest Common Factor
We found the factors 4756,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,5601 is 1.
Lets's calculate LCM of 493,7342
Given numbers has no common factors except 1. So, there LCM is their product i.e 3619606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3619606
Therefore, the GCF of Fractions 4756/493,5601/7342 is 1/3619606
Least Common Multiple of 493,7342 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 493,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,7342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,7342) x common factors =1 x 1 = 1
LCM(493,7342) = ( 493 × 7342 ) / 1
LCM(493,7342) = 3619606 / 1
LCM(493,7342) = 3619606
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FAQs on GCF of Fractions of 4756/493, 5601/7342
1. What is the HCF of 4756,5601?
The HCF of 4756,5601 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 4756/493, 5601/7342?
Answer: GCF of Numerators as per given numbers 4756/493, 5601/7342 is
GCF of Numerators i.e. for 4756,5601 is 1
LCM of denominators i.e. for 493,7342 is 3619606.
Thus, GCF of Fractions is 1/3619606.Finally, GCF of Fractions for 4756/493, 5601/7342 is 1/3619606.