GCF of 4701/939, 5069/2854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4701/939, 5069/2854 i.e 1/2679906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4701/939, 5069/2854.
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 4701/939,5069/2854?
Given fractions are 4701/939,5069/2854
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 4701/939,5069/2854, numerators are 4701,5069
Denominators are 939,2854
The GCF of 4701,5069 is 1 .
LCM of 939,2854 is 2679906.
The greatest common factor of 4701/939,5069/2854 = [GCF of 4701,5069]/[LCM of 939,2854]= 1/2679906
Therefore, the GCF of 4701/939,5069/2854 is 1/2679906.
To find the highest common factor of 4701,5069, we have to find the factors of both numbers and list the highest common factor.
The factors of 4701 are 1, 3, 1567, 4701
The factors of 5069 are 1, 37, 137, 5069
The HCF of 4701,5069 is 1.
Lets's calculate GCF of 4701,5069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4701,5069 By Matching Biggest Common Factor Method
Now, list down the factors of 4701
:1,3,1567,4701
Now, list down the factors of 5069
:1,37,137,5069
Greatest Common Factor
We found the factors 4701,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 4701,5069 is 1.
Lets's calculate LCM of 939,2854
Given numbers has no common factors except 1. So, there LCM is their product i.e 2679906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2679906
Therefore, the GCF of Fractions 4701/939,5069/2854 is 1/2679906
Least Common Multiple of 939,2854 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 939,2854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,2854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,2854) x common factors =1 x 1 = 1
LCM(939,2854) = ( 939 × 2854 ) / 1
LCM(939,2854) = 2679906 / 1
LCM(939,2854) = 2679906
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FAQs on GCF of Fractions of 4701/939, 5069/2854
1. What is the HCF of 4701,5069?
The HCF of 4701,5069 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 4701/939, 5069/2854?
Answer: GCF of Numerators as per given numbers 4701/939, 5069/2854 is
GCF of Numerators i.e. for 4701,5069 is 1
LCM of denominators i.e. for 939,2854 is 2679906.
Thus, GCF of Fractions is 1/2679906.Finally, GCF of Fractions for 4701/939, 5069/2854 is 1/2679906.