GCF of 4770/648, 5657/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4770/648, 5657/127 i.e 1/82296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4770/648, 5657/127.
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 4770/648,5657/127?
Given fractions are 4770/648,5657/127
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 4770/648,5657/127, numerators are 4770,5657
Denominators are 648,127
The GCF of 4770,5657 is 1 .
LCM of 648,127 is 82296.
The greatest common factor of 4770/648,5657/127 = [GCF of 4770,5657]/[LCM of 648,127]= 1/82296
Therefore, the GCF of 4770/648,5657/127 is 1/82296.
To find the highest common factor of 4770,5657, we have to find the factors of both numbers and list the highest common factor.
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The factors of 5657 are 1, 5657
The HCF of 4770,5657 is 1.
Lets's calculate GCF of 4770,5657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4770,5657 By Matching Biggest Common Factor Method
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Now, list down the factors of 5657
:1,5657
Greatest Common Factor
We found the factors 4770,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,5657 is 1.
Lets's calculate LCM of 648,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 82296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82296
Therefore, the GCF of Fractions 4770/648,5657/127 is 1/82296
Least Common Multiple of 648,127 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 648,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,127) x common factors =1 x 1 = 1
LCM(648,127) = ( 648 × 127 ) / 1
LCM(648,127) = 82296 / 1
LCM(648,127) = 82296
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FAQs on GCF of Fractions of 4770/648, 5657/127
1. What is the HCF of 4770,5657?
The HCF of 4770,5657 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 4770/648, 5657/127?
Answer: GCF of Numerators as per given numbers 4770/648, 5657/127 is
GCF of Numerators i.e. for 4770,5657 is 1
LCM of denominators i.e. for 648,127 is 82296.
Thus, GCF of Fractions is 1/82296.Finally, GCF of Fractions for 4770/648, 5657/127 is 1/82296.