Highest Common Factor of 7406, 8843 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 7406, 8843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7406, 8843 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 7406, 8843 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 7406, 8843 is 1.
HCF(7406, 8843) = 1
HCF of 7406, 8843 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7406, 8843 is 1.
Highest Common Factor of 7406,8843 is 1
Step 1: Since 8843 > 7406, we apply the division lemma to 8843 and 7406, to get
8843 = 7406 x 1 + 1437
Step 2: Since the reminder 7406 ≠ 0, we apply division lemma to 1437 and 7406, to get
7406 = 1437 x 5 + 221
Step 3: We consider the new divisor 1437 and the new remainder 221, and apply the division lemma to get
1437 = 221 x 6 + 111
We consider the new divisor 221 and the new remainder 111,and apply the division lemma to get
221 = 111 x 1 + 110
We consider the new divisor 111 and the new remainder 110,and apply the division lemma to get
111 = 110 x 1 + 1
We consider the new divisor 110 and the new remainder 1,and apply the division lemma to get
110 = 1 x 110 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7406 and 8843 is 1
Notice that 1 = HCF(110,1) = HCF(111,110) = HCF(221,111) = HCF(1437,221) = HCF(7406,1437) = HCF(8843,7406) .
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Frequently Asked Questions on HCF of 7406, 8843 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 7406, 8843?
Answer: HCF of 7406, 8843 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7406, 8843 using Euclid's Algorithm?
Answer: For arbitrary numbers 7406, 8843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.