GCF of 4660/677, 4313/5187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4660/677, 4313/5187 i.e 1/3511599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4660/677, 4313/5187.
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 4660/677,4313/5187?
Given fractions are 4660/677,4313/5187
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 4660/677,4313/5187, numerators are 4660,4313
Denominators are 677,5187
The GCF of 4660,4313 is 1 .
LCM of 677,5187 is 3511599.
The greatest common factor of 4660/677,4313/5187 = [GCF of 4660,4313]/[LCM of 677,5187]= 1/3511599
Therefore, the GCF of 4660/677,4313/5187 is 1/3511599.
To find the highest common factor of 4660,4313, we have to find the factors of both numbers and list the highest common factor.
The factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660
The factors of 4313 are 1, 19, 227, 4313
The HCF of 4660,4313 is 1.
Lets's calculate GCF of 4660,4313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4660,4313 By Matching Biggest Common Factor Method
Now, list down the factors of 4660
:1,2,4,5,10,20,233,466,932,1165,2330,4660
Now, list down the factors of 4313
:1,19,227,4313
Greatest Common Factor
We found the factors 4660,4313 . The biggest common factor number is the GCF number.
So the greatest common factor 4660,4313 is 1.
Lets's calculate LCM of 677,5187
Given numbers has no common factors except 1. So, there LCM is their product i.e 3511599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3511599
Therefore, the GCF of Fractions 4660/677,4313/5187 is 1/3511599
Least Common Multiple of 677,5187 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 677,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,5187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,5187) x common factors =1 x 1 = 1
LCM(677,5187) = ( 677 × 5187 ) / 1
LCM(677,5187) = 3511599 / 1
LCM(677,5187) = 3511599
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FAQs on GCF of Fractions of 4660/677, 4313/5187
1. What is the HCF of 4660,4313?
The HCF of 4660,4313 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 4660/677, 4313/5187?
Answer: GCF of Numerators as per given numbers 4660/677, 4313/5187 is
GCF of Numerators i.e. for 4660,4313 is 1
LCM of denominators i.e. for 677,5187 is 3511599.
Thus, GCF of Fractions is 1/3511599.Finally, GCF of Fractions for 4660/677, 4313/5187 is 1/3511599.