GCF of 43/38, 432/28, 536/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/38, 432/28, 536/486 i.e 1/129276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/38, 432/28, 536/486.
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 43/38,432/28,536/486?
Given fractions are 43/38,432/28,536/486
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 43/38,432/28,536/486, numerators are 43,432,536
Denominators are 38,28,486
The GCF of 43,432,536 is 1 .
LCM of 38,28,486 is 129276.
The greatest common factor of 43/38,432/28,536/486 = [GCF of 43,432,536]/[LCM of 38,28,486]= 1/129276
Therefore, the GCF of 43/38,432/28,536/486 is 1/129276.
To find the highest common factor of 43,432,536, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The HCF of 43,432,536 is 1.
Lets's calculate GCF of 43,432,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,432,536 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 43,432,536 . The biggest common factor number is the GCF number.
So the greatest common factor 43,432,536 is 1.
Lets's calculate LCM of 38,28,486
| 2 | 38, 28, 486 |
| 19, 14, 243 |
∴ So the LCM of the given numbers is 2 x 19 x 14 x 243 = 129276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129276
Therefore, the GCF of Fractions 43/38,432/28,536/486 is 1/129276
Least Common Multiple of 38,28,486 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 38,28,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,28,486) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(38,28,486) x common factors =2 x 2 = 4
LCM(38,28,486) = ( 38 × 28 × 486 ) / 4
LCM(38,28,486) = 517104 / 4
LCM(38,28,486) = 129276
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 43/38, 432/28, 536/486
1. What is the HCF of 43,432,536?
The HCF of 43,432,536 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 43/38, 432/28, 536/486?
Answer: GCF of Numerators as per given numbers 43/38, 432/28, 536/486 is
GCF of Numerators i.e. for 43,432,536 is 1
LCM of denominators i.e. for 38,28,486 is 129276.
Thus, GCF of Fractions is 1/129276.Finally, GCF of Fractions for 43/38, 432/28, 536/486 is 1/129276.