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 912, 531 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 531 is 3 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 912, 531 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 912, 531 is 3.
HCF(912, 531) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 531 is 3.
Step 1: Since 912 > 531, we apply the division lemma to 912 and 531, to get
912 = 531 x 1 + 381
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 381 and 531, to get
531 = 381 x 1 + 150
Step 3: We consider the new divisor 381 and the new remainder 150, and apply the division lemma to get
381 = 150 x 2 + 81
We consider the new divisor 150 and the new remainder 81,and apply the division lemma to get
150 = 81 x 1 + 69
We consider the new divisor 81 and the new remainder 69,and apply the division lemma to get
81 = 69 x 1 + 12
We consider the new divisor 69 and the new remainder 12,and apply the division lemma to get
69 = 12 x 5 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 912 and 531 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(69,12) = HCF(81,69) = HCF(150,81) = HCF(381,150) = HCF(531,381) = HCF(912,531) .
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 912, 531?
Answer: HCF of 912, 531 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 531 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.