GCF of 86/396, 11/370, 600/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/396, 11/370, 600/974 i.e 1/35677620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/396, 11/370, 600/974.
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 86/396,11/370,600/974?
Given fractions are 86/396,11/370,600/974
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 86/396,11/370,600/974, numerators are 86,11,600
Denominators are 396,370,974
The GCF of 86,11,600 is 1 .
LCM of 396,370,974 is 35677620.
The greatest common factor of 86/396,11/370,600/974 = [GCF of 86,11,600]/[LCM of 396,370,974]= 1/35677620
Therefore, the GCF of 86/396,11/370,600/974 is 1/35677620.
To find the highest common factor of 86,11,600, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 11 are 1, 11
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The HCF of 86,11,600 is 1.
Lets's calculate GCF of 86,11,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,11,600 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 11
:1,11
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 86,11,600 . The biggest common factor number is the GCF number.
So the greatest common factor 86,11,600 is 1.
Lets's calculate LCM of 396,370,974
| 2 | 396, 370, 974 |
| 198, 185, 487 |
∴ So the LCM of the given numbers is 2 x 198 x 185 x 487 = 35677620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35677620
Therefore, the GCF of Fractions 86/396,11/370,600/974 is 1/35677620
Least Common Multiple of 396,370,974 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 396,370,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,370,974) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(396,370,974) x common factors =2 x 2 = 4
LCM(396,370,974) = ( 396 × 370 × 974 ) / 4
LCM(396,370,974) = 142710480 / 4
LCM(396,370,974) = 35677620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 86/396, 11/370, 600/974
1. What is the HCF of 86,11,600?
The HCF of 86,11,600 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 86/396, 11/370, 600/974?
Answer: GCF of Numerators as per given numbers 86/396, 11/370, 600/974 is
GCF of Numerators i.e. for 86,11,600 is 1
LCM of denominators i.e. for 396,370,974 is 35677620.
Thus, GCF of Fractions is 1/35677620.Finally, GCF of Fractions for 86/396, 11/370, 600/974 is 1/35677620.