GCF of 67/91, 55/64, 761/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/91, 55/64, 761/405 i.e 1/2358720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/91, 55/64, 761/405.
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 67/91,55/64,761/405?
Given fractions are 67/91,55/64,761/405
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 67/91,55/64,761/405, numerators are 67,55,761
Denominators are 91,64,405
The GCF of 67,55,761 is 1 .
LCM of 91,64,405 is 2358720.
The greatest common factor of 67/91,55/64,761/405 = [GCF of 67,55,761]/[LCM of 91,64,405]= 1/2358720
Therefore, the GCF of 67/91,55/64,761/405 is 1/2358720.
To find the highest common factor of 67,55,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 55 are 1, 5, 11, 55
The factors of 761 are 1, 761
The HCF of 67,55,761 is 1.
Lets's calculate GCF of 67,55,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 67,55,761 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 67,55,761 . The biggest common factor number is the GCF number.
So the greatest common factor 67,55,761 is 1.
Lets's calculate LCM of 91,64,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 2358720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2358720
Therefore, the GCF of Fractions 67/91,55/64,761/405 is 1/2358720
Least Common Multiple of 91,64,405 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 91,64,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,64,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,64,405) x common factors =1 x 1 = 1
LCM(91,64,405) = ( 91 × 64 × 405 ) / 1
LCM(91,64,405) = 2358720 / 1
LCM(91,64,405) = 2358720
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FAQs on GCF of Fractions of 67/91, 55/64, 761/405
1. What is the HCF of 67,55,761?
The HCF of 67,55,761 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 67/91, 55/64, 761/405?
Answer: GCF of Numerators as per given numbers 67/91, 55/64, 761/405 is
GCF of Numerators i.e. for 67,55,761 is 1
LCM of denominators i.e. for 91,64,405 is 2358720.
Thus, GCF of Fractions is 1/2358720.Finally, GCF of Fractions for 67/91, 55/64, 761/405 is 1/2358720.