GCF of 8/16, 43/74, 56/764, 698/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8/16, 43/74, 56/764, 698/800 i.e 1/5653600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/16, 43/74, 56/764, 698/800.
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 8/16,43/74,56/764,698/800?
Given fractions are 8/16,43/74,56/764,698/800
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 8/16,43/74,56/764,698/800, numerators are 8,43,56,698
Denominators are 16,74,764,800
The GCF of 8,43,56,698 is 1 .
LCM of 16,74,764,800 is 5653600.
The greatest common factor of 8/16,43/74,56/764,698/800 = [GCF of 8,43,56,698]/[LCM of 16,74,764,800]= 1/5653600
Therefore, the GCF of 8/16,43/74,56/764,698/800 is 1/5653600.
To find the highest common factor of 8,43,56,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 43 are 1, 43
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 698 are 1, 2, 349, 698
The HCF of 8,43,56,698 is 1.
Lets's calculate GCF of 8,43,56,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8,43,56,698 By Matching Biggest Common Factor Method
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 43
:1,43
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 8,43,56,698 . The biggest common factor number is the GCF number.
So the greatest common factor 8,43,56,698 is 1.
Lets's calculate LCM of 16,74,764,800
| 2 | 16, 74, 764, 800 |
| 2 | 8, 37, 382, 400 |
| 2 | 4, 37, 191, 200 |
| 2 | 2, 37, 191, 100 |
| 1, 37, 191, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 37 x 191 x 50 = 5653600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5653600
Therefore, the GCF of Fractions 8/16,43/74,56/764,698/800 is 1/5653600
Least Common Multiple of 16,74,764,800 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 16,74,764,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,74,764,800) = 2
common factors(in case of two or more numbers have common factors) = 64
GCF(16,74,764,800) x common factors =2 x 64 = 128
LCM(16,74,764,800) = ( 16 × 74 × 764 × 800 ) / 128
LCM(16,74,764,800) = 723660800 / 128
LCM(16,74,764,800) = 5653600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8/16, 43/74, 56/764, 698/800
1. What is the HCF of 8,43,56,698?
The HCF of 8,43,56,698 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 8/16, 43/74, 56/764, 698/800?
Answer: GCF of Numerators as per given numbers 8/16, 43/74, 56/764, 698/800 is
GCF of Numerators i.e. for 8,43,56,698 is 1
LCM of denominators i.e. for 16,74,764,800 is 5653600.
Thus, GCF of Fractions is 1/5653600.Finally, GCF of Fractions for 8/16, 43/74, 56/764, 698/800 is 1/5653600.