Highest Common Factor of 3682, 8359, 26453 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 3682, 8359, 26453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3682, 8359, 26453 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 3682, 8359, 26453 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 3682, 8359, 26453 is 1.
HCF(3682, 8359, 26453) = 1
HCF of 3682, 8359, 26453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3682, 8359, 26453 is 1.
Highest Common Factor of 3682,8359,26453 is 1
Step 1: Since 8359 > 3682, we apply the division lemma to 8359 and 3682, to get
8359 = 3682 x 2 + 995
Step 2: Since the reminder 3682 ≠ 0, we apply division lemma to 995 and 3682, to get
3682 = 995 x 3 + 697
Step 3: We consider the new divisor 995 and the new remainder 697, and apply the division lemma to get
995 = 697 x 1 + 298
We consider the new divisor 697 and the new remainder 298,and apply the division lemma to get
697 = 298 x 2 + 101
We consider the new divisor 298 and the new remainder 101,and apply the division lemma to get
298 = 101 x 2 + 96
We consider the new divisor 101 and the new remainder 96,and apply the division lemma to get
101 = 96 x 1 + 5
We consider the new divisor 96 and the new remainder 5,and apply the division lemma to get
96 = 5 x 19 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3682 and 8359 is 1
Notice that 1 = HCF(5,1) = HCF(96,5) = HCF(101,96) = HCF(298,101) = HCF(697,298) = HCF(995,697) = HCF(3682,995) = HCF(8359,3682) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26453 > 1, we apply the division lemma to 26453 and 1, to get
26453 = 1 x 26453 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26453 is 1
Notice that 1 = HCF(26453,1) .
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Frequently Asked Questions on HCF of 3682, 8359, 26453 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 3682, 8359, 26453?
Answer: HCF of 3682, 8359, 26453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3682, 8359, 26453 using Euclid's Algorithm?
Answer: For arbitrary numbers 3682, 8359, 26453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.