GCF of 4774/916, 5295/1817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4774/916, 5295/1817 i.e 1/1664372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4774/916, 5295/1817.
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 4774/916,5295/1817?
Given fractions are 4774/916,5295/1817
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 4774/916,5295/1817, numerators are 4774,5295
Denominators are 916,1817
The GCF of 4774,5295 is 1 .
LCM of 916,1817 is 1664372.
The greatest common factor of 4774/916,5295/1817 = [GCF of 4774,5295]/[LCM of 916,1817]= 1/1664372
Therefore, the GCF of 4774/916,5295/1817 is 1/1664372.
To find the highest common factor of 4774,5295, we have to find the factors of both numbers and list the highest common factor.
The factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295
The HCF of 4774,5295 is 1.
Lets's calculate GCF of 4774,5295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4774,5295 By Matching Biggest Common Factor Method
Now, list down the factors of 4774
:1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Now, list down the factors of 5295
:1,3,5,15,353,1059,1765,5295
Greatest Common Factor
We found the factors 4774,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 4774,5295 is 1.
Lets's calculate LCM of 916,1817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1664372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1664372
Therefore, the GCF of Fractions 4774/916,5295/1817 is 1/1664372
Least Common Multiple of 916,1817 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 916,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,1817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,1817) x common factors =1 x 1 = 1
LCM(916,1817) = ( 916 × 1817 ) / 1
LCM(916,1817) = 1664372 / 1
LCM(916,1817) = 1664372
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FAQs on GCF of Fractions of 4774/916, 5295/1817
1. What is the HCF of 4774,5295?
The HCF of 4774,5295 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 4774/916, 5295/1817?
Answer: GCF of Numerators as per given numbers 4774/916, 5295/1817 is
GCF of Numerators i.e. for 4774,5295 is 1
LCM of denominators i.e. for 916,1817 is 1664372.
Thus, GCF of Fractions is 1/1664372.Finally, GCF of Fractions for 4774/916, 5295/1817 is 1/1664372.