Highest Common Factor of 1941, 3382 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 1941, 3382 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1941, 3382 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 1941, 3382 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 1941, 3382 is 1.
HCF(1941, 3382) = 1
HCF of 1941, 3382 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1941, 3382 is 1.
Highest Common Factor of 1941,3382 is 1
Step 1: Since 3382 > 1941, we apply the division lemma to 3382 and 1941, to get
3382 = 1941 x 1 + 1441
Step 2: Since the reminder 1941 ≠ 0, we apply division lemma to 1441 and 1941, to get
1941 = 1441 x 1 + 500
Step 3: We consider the new divisor 1441 and the new remainder 500, and apply the division lemma to get
1441 = 500 x 2 + 441
We consider the new divisor 500 and the new remainder 441,and apply the division lemma to get
500 = 441 x 1 + 59
We consider the new divisor 441 and the new remainder 59,and apply the division lemma to get
441 = 59 x 7 + 28
We consider the new divisor 59 and the new remainder 28,and apply the division lemma to get
59 = 28 x 2 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 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 1941 and 3382 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(59,28) = HCF(441,59) = HCF(500,441) = HCF(1441,500) = HCF(1941,1441) = HCF(3382,1941) .
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Frequently Asked Questions on HCF of 1941, 3382 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 1941, 3382?
Answer: HCF of 1941, 3382 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1941, 3382 using Euclid's Algorithm?
Answer: For arbitrary numbers 1941, 3382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.