Highest Common Factor of 1071, 1931, 43844 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 1071, 1931, 43844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1071, 1931, 43844 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 1071, 1931, 43844 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 1071, 1931, 43844 is 1.
HCF(1071, 1931, 43844) = 1
HCF of 1071, 1931, 43844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1071, 1931, 43844 is 1.
Highest Common Factor of 1071,1931,43844 is 1
Step 1: Since 1931 > 1071, we apply the division lemma to 1931 and 1071, to get
1931 = 1071 x 1 + 860
Step 2: Since the reminder 1071 ≠ 0, we apply division lemma to 860 and 1071, to get
1071 = 860 x 1 + 211
Step 3: We consider the new divisor 860 and the new remainder 211, and apply the division lemma to get
860 = 211 x 4 + 16
We consider the new divisor 211 and the new remainder 16,and apply the division lemma to get
211 = 16 x 13 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 1071 and 1931 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(211,16) = HCF(860,211) = HCF(1071,860) = HCF(1931,1071) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43844 > 1, we apply the division lemma to 43844 and 1, to get
43844 = 1 x 43844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43844 is 1
Notice that 1 = HCF(43844,1) .
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Frequently Asked Questions on HCF of 1071, 1931, 43844 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 1071, 1931, 43844?
Answer: HCF of 1071, 1931, 43844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1071, 1931, 43844 using Euclid's Algorithm?
Answer: For arbitrary numbers 1071, 1931, 43844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.