GCF of 65/35, 451/16, 700/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 65/35, 451/16, 700/767 i.e 1/429520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/35, 451/16, 700/767.
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 65/35,451/16,700/767?
Given fractions are 65/35,451/16,700/767
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 65/35,451/16,700/767, numerators are 65,451,700
Denominators are 35,16,767
The GCF of 65,451,700 is 1 .
LCM of 35,16,767 is 429520.
The greatest common factor of 65/35,451/16,700/767 = [GCF of 65,451,700]/[LCM of 35,16,767]= 1/429520
Therefore, the GCF of 65/35,451/16,700/767 is 1/429520.
To find the highest common factor of 65,451,700, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 451 are 1, 11, 41, 451
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 65,451,700 is 1.
Lets's calculate GCF of 65,451,700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 65,451,700 By Matching Biggest Common Factor Method
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 65,451,700 . The biggest common factor number is the GCF number.
So the greatest common factor 65,451,700 is 1.
Lets's calculate LCM of 35,16,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 429520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429520
Therefore, the GCF of Fractions 65/35,451/16,700/767 is 1/429520
Least Common Multiple of 35,16,767 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 35,16,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,16,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,16,767) x common factors =1 x 1 = 1
LCM(35,16,767) = ( 35 × 16 × 767 ) / 1
LCM(35,16,767) = 429520 / 1
LCM(35,16,767) = 429520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 65/35, 451/16, 700/767
1. What is the HCF of 65,451,700?
The HCF of 65,451,700 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 65/35, 451/16, 700/767?
Answer: GCF of Numerators as per given numbers 65/35, 451/16, 700/767 is
GCF of Numerators i.e. for 65,451,700 is 1
LCM of denominators i.e. for 35,16,767 is 429520.
Thus, GCF of Fractions is 1/429520.Finally, GCF of Fractions for 65/35, 451/16, 700/767 is 1/429520.