GCF of 4766/121, 5769/8456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4766/121, 5769/8456 i.e 1/1023176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4766/121, 5769/8456.
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 4766/121,5769/8456?
Given fractions are 4766/121,5769/8456
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 4766/121,5769/8456, numerators are 4766,5769
Denominators are 121,8456
The GCF of 4766,5769 is 1 .
LCM of 121,8456 is 1023176.
The greatest common factor of 4766/121,5769/8456 = [GCF of 4766,5769]/[LCM of 121,8456]= 1/1023176
Therefore, the GCF of 4766/121,5769/8456 is 1/1023176.
To find the highest common factor of 4766,5769, we have to find the factors of both numbers and list the highest common factor.
The factors of 4766 are 1, 2, 2383, 4766
The factors of 5769 are 1, 3, 9, 641, 1923, 5769
The HCF of 4766,5769 is 1.
Lets's calculate GCF of 4766,5769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4766,5769 By Matching Biggest Common Factor Method
Now, list down the factors of 4766
:1,2,2383,4766
Now, list down the factors of 5769
:1,3,9,641,1923,5769
Greatest Common Factor
We found the factors 4766,5769 . The biggest common factor number is the GCF number.
So the greatest common factor 4766,5769 is 1.
Lets's calculate LCM of 121,8456
Given numbers has no common factors except 1. So, there LCM is their product i.e 1023176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1023176
Therefore, the GCF of Fractions 4766/121,5769/8456 is 1/1023176
Least Common Multiple of 121,8456 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 121,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,8456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,8456) x common factors =1 x 1 = 1
LCM(121,8456) = ( 121 × 8456 ) / 1
LCM(121,8456) = 1023176 / 1
LCM(121,8456) = 1023176
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FAQs on GCF of Fractions of 4766/121, 5769/8456
1. What is the HCF of 4766,5769?
The HCF of 4766,5769 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 4766/121, 5769/8456?
Answer: GCF of Numerators as per given numbers 4766/121, 5769/8456 is
GCF of Numerators i.e. for 4766,5769 is 1
LCM of denominators i.e. for 121,8456 is 1023176.
Thus, GCF of Fractions is 1/1023176.Finally, GCF of Fractions for 4766/121, 5769/8456 is 1/1023176.