Highest Common Factor of 246, 589 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 246, 589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 246, 589 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 246, 589 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 246, 589 is 1.
HCF(246, 589) = 1
HCF of 246, 589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 246, 589 is 1.
Highest Common Factor of 246,589 is 1
Step 1: Since 589 > 246, we apply the division lemma to 589 and 246, to get
589 = 246 x 2 + 97
Step 2: Since the reminder 246 ≠ 0, we apply division lemma to 97 and 246, to get
246 = 97 x 2 + 52
Step 3: We consider the new divisor 97 and the new remainder 52, and apply the division lemma to get
97 = 52 x 1 + 45
We consider the new divisor 52 and the new remainder 45,and apply the division lemma to get
52 = 45 x 1 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 246 and 589 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(52,45) = HCF(97,52) = HCF(246,97) = HCF(589,246) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 246, 589 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 246, 589?
Answer: HCF of 246, 589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 246, 589 using Euclid's Algorithm?
Answer: For arbitrary numbers 246, 589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.