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 897, 506 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 897, 506 is 23 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 897, 506 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 897, 506 is 23.
HCF(897, 506) = 23
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 897, 506 is 23.
Step 1: Since 897 > 506, we apply the division lemma to 897 and 506, to get
897 = 506 x 1 + 391
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 391 and 506, to get
506 = 391 x 1 + 115
Step 3: We consider the new divisor 391 and the new remainder 115, and apply the division lemma to get
391 = 115 x 3 + 46
We consider the new divisor 115 and the new remainder 46,and apply the division lemma to get
115 = 46 x 2 + 23
We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get
46 = 23 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 897 and 506 is 23
Notice that 23 = HCF(46,23) = HCF(115,46) = HCF(391,115) = HCF(506,391) = HCF(897,506) .
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 897, 506?
Answer: HCF of 897, 506 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 897, 506 using Euclid's Algorithm?
Answer: For arbitrary numbers 897, 506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.