Highest Common Factor of 3756, 2189 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 3756, 2189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3756, 2189 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 3756, 2189 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 3756, 2189 is 1.
HCF(3756, 2189) = 1
HCF of 3756, 2189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3756, 2189 is 1.
Highest Common Factor of 3756,2189 is 1
Step 1: Since 3756 > 2189, we apply the division lemma to 3756 and 2189, to get
3756 = 2189 x 1 + 1567
Step 2: Since the reminder 2189 ≠ 0, we apply division lemma to 1567 and 2189, to get
2189 = 1567 x 1 + 622
Step 3: We consider the new divisor 1567 and the new remainder 622, and apply the division lemma to get
1567 = 622 x 2 + 323
We consider the new divisor 622 and the new remainder 323,and apply the division lemma to get
622 = 323 x 1 + 299
We consider the new divisor 323 and the new remainder 299,and apply the division lemma to get
323 = 299 x 1 + 24
We consider the new divisor 299 and the new remainder 24,and apply the division lemma to get
299 = 24 x 12 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3756 and 2189 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(299,24) = HCF(323,299) = HCF(622,323) = HCF(1567,622) = HCF(2189,1567) = HCF(3756,2189) .
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Frequently Asked Questions on HCF of 3756, 2189 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 3756, 2189?
Answer: HCF of 3756, 2189 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3756, 2189 using Euclid's Algorithm?
Answer: For arbitrary numbers 3756, 2189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.