Highest Common Factor of 7649, 9341 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 7649, 9341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7649, 9341 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 7649, 9341 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 7649, 9341 is 1.
HCF(7649, 9341) = 1
HCF of 7649, 9341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7649, 9341 is 1.
Highest Common Factor of 7649,9341 is 1
Step 1: Since 9341 > 7649, we apply the division lemma to 9341 and 7649, to get
9341 = 7649 x 1 + 1692
Step 2: Since the reminder 7649 ≠ 0, we apply division lemma to 1692 and 7649, to get
7649 = 1692 x 4 + 881
Step 3: We consider the new divisor 1692 and the new remainder 881, and apply the division lemma to get
1692 = 881 x 1 + 811
We consider the new divisor 881 and the new remainder 811,and apply the division lemma to get
881 = 811 x 1 + 70
We consider the new divisor 811 and the new remainder 70,and apply the division lemma to get
811 = 70 x 11 + 41
We consider the new divisor 70 and the new remainder 41,and apply the division lemma to get
70 = 41 x 1 + 29
We consider the new divisor 41 and the new remainder 29,and apply the division lemma to get
41 = 29 x 1 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7649 and 9341 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(41,29) = HCF(70,41) = HCF(811,70) = HCF(881,811) = HCF(1692,881) = HCF(7649,1692) = HCF(9341,7649) .
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Frequently Asked Questions on HCF of 7649, 9341 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 7649, 9341?
Answer: HCF of 7649, 9341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7649, 9341 using Euclid's Algorithm?
Answer: For arbitrary numbers 7649, 9341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
