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 531, 23482 i.e. 59 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 23482 is 59 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 531, 23482 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 531, 23482 is 59.
HCF(531, 23482) = 59
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 23482 is 59.
Step 1: Since 23482 > 531, we apply the division lemma to 23482 and 531, to get
23482 = 531 x 44 + 118
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 118 and 531, to get
531 = 118 x 4 + 59
Step 3: We consider the new divisor 118 and the new remainder 59, and apply the division lemma to get
118 = 59 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 531 and 23482 is 59
Notice that 59 = HCF(118,59) = HCF(531,118) = HCF(23482,531) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 531, 23482?
Answer: HCF of 531, 23482 is 59 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 23482 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 23482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.