Highest Common Factor of 7043, 3991 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 7043, 3991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7043, 3991 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 7043, 3991 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 7043, 3991 is 1.
HCF(7043, 3991) = 1
HCF of 7043, 3991 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7043, 3991 is 1.
Highest Common Factor of 7043,3991 is 1
Step 1: Since 7043 > 3991, we apply the division lemma to 7043 and 3991, to get
7043 = 3991 x 1 + 3052
Step 2: Since the reminder 3991 ≠ 0, we apply division lemma to 3052 and 3991, to get
3991 = 3052 x 1 + 939
Step 3: We consider the new divisor 3052 and the new remainder 939, and apply the division lemma to get
3052 = 939 x 3 + 235
We consider the new divisor 939 and the new remainder 235,and apply the division lemma to get
939 = 235 x 3 + 234
We consider the new divisor 235 and the new remainder 234,and apply the division lemma to get
235 = 234 x 1 + 1
We consider the new divisor 234 and the new remainder 1,and apply the division lemma to get
234 = 1 x 234 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7043 and 3991 is 1
Notice that 1 = HCF(234,1) = HCF(235,234) = HCF(939,235) = HCF(3052,939) = HCF(3991,3052) = HCF(7043,3991) .
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Frequently Asked Questions on HCF of 7043, 3991 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 7043, 3991?
Answer: HCF of 7043, 3991 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7043, 3991 using Euclid's Algorithm?
Answer: For arbitrary numbers 7043, 3991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.