Highest Common Factor of 6233, 2719 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 6233, 2719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6233, 2719 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 6233, 2719 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 6233, 2719 is 1.
HCF(6233, 2719) = 1
HCF of 6233, 2719 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6233, 2719 is 1.
Highest Common Factor of 6233,2719 is 1
Step 1: Since 6233 > 2719, we apply the division lemma to 6233 and 2719, to get
6233 = 2719 x 2 + 795
Step 2: Since the reminder 2719 ≠ 0, we apply division lemma to 795 and 2719, to get
2719 = 795 x 3 + 334
Step 3: We consider the new divisor 795 and the new remainder 334, and apply the division lemma to get
795 = 334 x 2 + 127
We consider the new divisor 334 and the new remainder 127,and apply the division lemma to get
334 = 127 x 2 + 80
We consider the new divisor 127 and the new remainder 80,and apply the division lemma to get
127 = 80 x 1 + 47
We consider the new divisor 80 and the new remainder 47,and apply the division lemma to get
80 = 47 x 1 + 33
We consider the new divisor 47 and the new remainder 33,and apply the division lemma to get
47 = 33 x 1 + 14
We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get
33 = 14 x 2 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6233 and 2719 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(47,33) = HCF(80,47) = HCF(127,80) = HCF(334,127) = HCF(795,334) = HCF(2719,795) = HCF(6233,2719) .
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Frequently Asked Questions on HCF of 6233, 2719 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 6233, 2719?
Answer: HCF of 6233, 2719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6233, 2719 using Euclid's Algorithm?
Answer: For arbitrary numbers 6233, 2719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
