GCF of 432/684, 271/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 432/684, 271/643 i.e 1/439812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/684, 271/643.
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 432/684,271/643?
Given fractions are 432/684,271/643
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 432/684,271/643, numerators are 432,271
Denominators are 684,643
The GCF of 432,271 is 1 .
LCM of 684,643 is 439812.
The greatest common factor of 432/684,271/643 = [GCF of 432,271]/[LCM of 684,643]= 1/439812
Therefore, the GCF of 432/684,271/643 is 1/439812.
To find the highest common factor of 432,271, we have to find the factors of both numbers and list the highest common factor.
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 271 are 1, 271
The HCF of 432,271 is 1.
Lets's calculate GCF of 432,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 432,271 By Matching Biggest Common Factor Method
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 271
:1,271
Greatest Common Factor
We found the factors 432,271 . The biggest common factor number is the GCF number.
So the greatest common factor 432,271 is 1.
Lets's calculate LCM of 684,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 439812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439812
Therefore, the GCF of Fractions 432/684,271/643 is 1/439812
Least Common Multiple of 684,643 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 684,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,643) x common factors =1 x 1 = 1
LCM(684,643) = ( 684 × 643 ) / 1
LCM(684,643) = 439812 / 1
LCM(684,643) = 439812
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 432/684, 271/643
1. What is the HCF of 432,271?
The HCF of 432,271 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 432/684, 271/643?
Answer: GCF of Numerators as per given numbers 432/684, 271/643 is
GCF of Numerators i.e. for 432,271 is 1
LCM of denominators i.e. for 684,643 is 439812.
Thus, GCF of Fractions is 1/439812.Finally, GCF of Fractions for 432/684, 271/643 is 1/439812.