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 623, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 467 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 623, 467 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 623, 467 is 1.
HCF(623, 467) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 467 is 1.
Step 1: Since 623 > 467, we apply the division lemma to 623 and 467, to get
623 = 467 x 1 + 156
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 156 and 467, to get
467 = 156 x 2 + 155
Step 3: We consider the new divisor 156 and the new remainder 155, and apply the division lemma to get
156 = 155 x 1 + 1
We consider the new divisor 155 and the new remainder 1, and apply the division lemma to get
155 = 1 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 467 is 1
Notice that 1 = HCF(155,1) = HCF(156,155) = HCF(467,156) = HCF(623,467) .
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 623, 467?
Answer: HCF of 623, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 467 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.