Highest Common Factor of 2190, 6743 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 2190, 6743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2190, 6743 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 2190, 6743 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 2190, 6743 is 1.
HCF(2190, 6743) = 1
HCF of 2190, 6743 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2190, 6743 is 1.
Highest Common Factor of 2190,6743 is 1
Step 1: Since 6743 > 2190, we apply the division lemma to 6743 and 2190, to get
6743 = 2190 x 3 + 173
Step 2: Since the reminder 2190 ≠ 0, we apply division lemma to 173 and 2190, to get
2190 = 173 x 12 + 114
Step 3: We consider the new divisor 173 and the new remainder 114, and apply the division lemma to get
173 = 114 x 1 + 59
We consider the new divisor 114 and the new remainder 59,and apply the division lemma to get
114 = 59 x 1 + 55
We consider the new divisor 59 and the new remainder 55,and apply the division lemma to get
59 = 55 x 1 + 4
We consider the new divisor 55 and the new remainder 4,and apply the division lemma to get
55 = 4 x 13 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2190 and 6743 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(59,55) = HCF(114,59) = HCF(173,114) = HCF(2190,173) = HCF(6743,2190) .
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Frequently Asked Questions on HCF of 2190, 6743 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 2190, 6743?
Answer: HCF of 2190, 6743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2190, 6743 using Euclid's Algorithm?
Answer: For arbitrary numbers 2190, 6743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
