Highest Common Factor of 431, 718, 439 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 431, 718, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 431, 718, 439 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 431, 718, 439 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 431, 718, 439 is 1.
HCF(431, 718, 439) = 1
HCF of 431, 718, 439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 431, 718, 439 is 1.
Highest Common Factor of 431,718,439 is 1
Step 1: Since 718 > 431, we apply the division lemma to 718 and 431, to get
718 = 431 x 1 + 287
Step 2: Since the reminder 431 ≠ 0, we apply division lemma to 287 and 431, to get
431 = 287 x 1 + 144
Step 3: We consider the new divisor 287 and the new remainder 144, and apply the division lemma to get
287 = 144 x 1 + 143
We consider the new divisor 144 and the new remainder 143,and apply the division lemma to get
144 = 143 x 1 + 1
We consider the new divisor 143 and the new remainder 1,and apply the division lemma to get
143 = 1 x 143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 431 and 718 is 1
Notice that 1 = HCF(143,1) = HCF(144,143) = HCF(287,144) = HCF(431,287) = HCF(718,431) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 439 > 1, we apply the division lemma to 439 and 1, to get
439 = 1 x 439 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 439 is 1
Notice that 1 = HCF(439,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 431, 718, 439 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 431, 718, 439?
Answer: HCF of 431, 718, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 431, 718, 439 using Euclid's Algorithm?
Answer: For arbitrary numbers 431, 718, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.