GCF of 4737/239, 1696/6184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4737/239, 1696/6184 i.e 1/1477976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/239, 1696/6184.
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 4737/239,1696/6184?
Given fractions are 4737/239,1696/6184
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 4737/239,1696/6184, numerators are 4737,1696
Denominators are 239,6184
The GCF of 4737,1696 is 1 .
LCM of 239,6184 is 1477976.
The greatest common factor of 4737/239,1696/6184 = [GCF of 4737,1696]/[LCM of 239,6184]= 1/1477976
Therefore, the GCF of 4737/239,1696/6184 is 1/1477976.
To find the highest common factor of 4737,1696, we have to find the factors of both numbers and list the highest common factor.
The factors of 4737 are 1, 3, 1579, 4737
The factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696
The HCF of 4737,1696 is 1.
Lets's calculate GCF of 4737,1696
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4737,1696 By Matching Biggest Common Factor Method
Now, list down the factors of 4737
:1,3,1579,4737
Now, list down the factors of 1696
:1,2,4,8,16,32,53,106,212,424,848,1696
Greatest Common Factor
We found the factors 4737,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,1696 is 1.
Lets's calculate LCM of 239,6184
Given numbers has no common factors except 1. So, there LCM is their product i.e 1477976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1477976
Therefore, the GCF of Fractions 4737/239,1696/6184 is 1/1477976
Least Common Multiple of 239,6184 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 239,6184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,6184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,6184) x common factors =1 x 1 = 1
LCM(239,6184) = ( 239 × 6184 ) / 1
LCM(239,6184) = 1477976 / 1
LCM(239,6184) = 1477976
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FAQs on GCF of Fractions of 4737/239, 1696/6184
1. What is the HCF of 4737,1696?
The HCF of 4737,1696 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 4737/239, 1696/6184?
Answer: GCF of Numerators as per given numbers 4737/239, 1696/6184 is
GCF of Numerators i.e. for 4737,1696 is 1
LCM of denominators i.e. for 239,6184 is 1477976.
Thus, GCF of Fractions is 1/1477976.Finally, GCF of Fractions for 4737/239, 1696/6184 is 1/1477976.