Highest Common Factor of 4195, 623 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 4195, 623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4195, 623 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 4195, 623 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 4195, 623 is 1.
HCF(4195, 623) = 1
HCF of 4195, 623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4195, 623 is 1.
Highest Common Factor of 4195,623 is 1
Step 1: Since 4195 > 623, we apply the division lemma to 4195 and 623, to get
4195 = 623 x 6 + 457
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 457 and 623, to get
623 = 457 x 1 + 166
Step 3: We consider the new divisor 457 and the new remainder 166, and apply the division lemma to get
457 = 166 x 2 + 125
We consider the new divisor 166 and the new remainder 125,and apply the division lemma to get
166 = 125 x 1 + 41
We consider the new divisor 125 and the new remainder 41,and apply the division lemma to get
125 = 41 x 3 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4195 and 623 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(125,41) = HCF(166,125) = HCF(457,166) = HCF(623,457) = HCF(4195,623) .
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Frequently Asked Questions on HCF of 4195, 623 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 4195, 623?
Answer: HCF of 4195, 623 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4195, 623 using Euclid's Algorithm?
Answer: For arbitrary numbers 4195, 623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.