GCF of 6655/955, 4501/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6655/955, 4501/5956 i.e 1/5687980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6655/955, 4501/5956.
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 6655/955,4501/5956?
Given fractions are 6655/955,4501/5956
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 6655/955,4501/5956, numerators are 6655,4501
Denominators are 955,5956
The GCF of 6655,4501 is 1 .
LCM of 955,5956 is 5687980.
The greatest common factor of 6655/955,4501/5956 = [GCF of 6655,4501]/[LCM of 955,5956]= 1/5687980
Therefore, the GCF of 6655/955,4501/5956 is 1/5687980.
To find the highest common factor of 6655,4501, we have to find the factors of both numbers and list the highest common factor.
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The factors of 4501 are 1, 7, 643, 4501
The HCF of 6655,4501 is 1.
Lets's calculate GCF of 6655,4501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6655,4501 By Matching Biggest Common Factor Method
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Now, list down the factors of 4501
:1,7,643,4501
Greatest Common Factor
We found the factors 6655,4501 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,4501 is 1.
Lets's calculate LCM of 955,5956
Given numbers has no common factors except 1. So, there LCM is their product i.e 5687980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5687980
Therefore, the GCF of Fractions 6655/955,4501/5956 is 1/5687980
Least Common Multiple of 955,5956 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 955,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,5956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,5956) x common factors =1 x 1 = 1
LCM(955,5956) = ( 955 × 5956 ) / 1
LCM(955,5956) = 5687980 / 1
LCM(955,5956) = 5687980
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FAQs on GCF of Fractions of 6655/955, 4501/5956
1. What is the HCF of 6655,4501?
The HCF of 6655,4501 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 6655/955, 4501/5956?
Answer: GCF of Numerators as per given numbers 6655/955, 4501/5956 is
GCF of Numerators i.e. for 6655,4501 is 1
LCM of denominators i.e. for 955,5956 is 5687980.
Thus, GCF of Fractions is 1/5687980.Finally, GCF of Fractions for 6655/955, 4501/5956 is 1/5687980.