GCF of 36/156, 76/199, 385/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/156, 76/199, 385/207 i.e 1/2142036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/156, 76/199, 385/207.
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 36/156,76/199,385/207?
Given fractions are 36/156,76/199,385/207
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 36/156,76/199,385/207, numerators are 36,76,385
Denominators are 156,199,207
The GCF of 36,76,385 is 1 .
LCM of 156,199,207 is 2142036.
The greatest common factor of 36/156,76/199,385/207 = [GCF of 36,76,385]/[LCM of 156,199,207]= 1/2142036
Therefore, the GCF of 36/156,76/199,385/207 is 1/2142036.
To find the highest common factor of 36,76,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 36,76,385 is 1.
Lets's calculate GCF of 36,76,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,76,385 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 36,76,385 . The biggest common factor number is the GCF number.
So the greatest common factor 36,76,385 is 1.
Lets's calculate LCM of 156,199,207
| 3 | 156, 199, 207 |
| 52, 199, 69 |
∴ So the LCM of the given numbers is 3 x 52 x 199 x 69 = 2142036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2142036
Therefore, the GCF of Fractions 36/156,76/199,385/207 is 1/2142036
Least Common Multiple of 156,199,207 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 156,199,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,199,207) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(156,199,207) x common factors =1 x 3 = 3
LCM(156,199,207) = ( 156 × 199 × 207 ) / 3
LCM(156,199,207) = 6426108 / 3
LCM(156,199,207) = 2142036
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 36/156, 76/199, 385/207
1. What is the HCF of 36,76,385?
The HCF of 36,76,385 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 36/156, 76/199, 385/207?
Answer: GCF of Numerators as per given numbers 36/156, 76/199, 385/207 is
GCF of Numerators i.e. for 36,76,385 is 1
LCM of denominators i.e. for 156,199,207 is 2142036.
Thus, GCF of Fractions is 1/2142036.Finally, GCF of Fractions for 36/156, 76/199, 385/207 is 1/2142036.