Highest Common Factor of 2189, 3758 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 2189, 3758 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2189, 3758 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 2189, 3758 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 2189, 3758 is 1.
HCF(2189, 3758) = 1
HCF of 2189, 3758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2189, 3758 is 1.
Highest Common Factor of 2189,3758 is 1
Step 1: Since 3758 > 2189, we apply the division lemma to 3758 and 2189, to get
3758 = 2189 x 1 + 1569
Step 2: Since the reminder 2189 ≠ 0, we apply division lemma to 1569 and 2189, to get
2189 = 1569 x 1 + 620
Step 3: We consider the new divisor 1569 and the new remainder 620, and apply the division lemma to get
1569 = 620 x 2 + 329
We consider the new divisor 620 and the new remainder 329,and apply the division lemma to get
620 = 329 x 1 + 291
We consider the new divisor 329 and the new remainder 291,and apply the division lemma to get
329 = 291 x 1 + 38
We consider the new divisor 291 and the new remainder 38,and apply the division lemma to get
291 = 38 x 7 + 25
We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get
38 = 25 x 1 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2189 and 3758 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(291,38) = HCF(329,291) = HCF(620,329) = HCF(1569,620) = HCF(2189,1569) = HCF(3758,2189) .
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Frequently Asked Questions on HCF of 2189, 3758 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 2189, 3758?
Answer: HCF of 2189, 3758 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2189, 3758 using Euclid's Algorithm?
Answer: For arbitrary numbers 2189, 3758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.