GCF of 66/767, 14/631, 959/868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 66/767, 14/631, 959/868 i.e 1/420092036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/767, 14/631, 959/868.
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 66/767,14/631,959/868?
Given fractions are 66/767,14/631,959/868
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 66/767,14/631,959/868, numerators are 66,14,959
Denominators are 767,631,868
The GCF of 66,14,959 is 1 .
LCM of 767,631,868 is 420092036.
The greatest common factor of 66/767,14/631,959/868 = [GCF of 66,14,959]/[LCM of 767,631,868]= 1/420092036
Therefore, the GCF of 66/767,14/631,959/868 is 1/420092036.
To find the highest common factor of 66,14,959, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 14 are 1, 2, 7, 14
The factors of 959 are 1, 7, 137, 959
The HCF of 66,14,959 is 1.
Lets's calculate GCF of 66,14,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 66,14,959 By Matching Biggest Common Factor Method
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 959
:1,7,137,959
Greatest Common Factor
We found the factors 66,14,959 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,959 is 1.
Lets's calculate LCM of 767,631,868
Given numbers has no common factors except 1. So, there LCM is their product i.e 420092036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420092036
Therefore, the GCF of Fractions 66/767,14/631,959/868 is 1/420092036
Least Common Multiple of 767,631,868 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 767,631,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,631,868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,631,868) x common factors =1 x 1 = 1
LCM(767,631,868) = ( 767 × 631 × 868 ) / 1
LCM(767,631,868) = 420092036 / 1
LCM(767,631,868) = 420092036
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FAQs on GCF of Fractions of 66/767, 14/631, 959/868
1. What is the HCF of 66,14,959?
The HCF of 66,14,959 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 66/767, 14/631, 959/868?
Answer: GCF of Numerators as per given numbers 66/767, 14/631, 959/868 is
GCF of Numerators i.e. for 66,14,959 is 1
LCM of denominators i.e. for 767,631,868 is 420092036.
Thus, GCF of Fractions is 1/420092036.Finally, GCF of Fractions for 66/767, 14/631, 959/868 is 1/420092036.