Highest Common Factor of 5837, 8680 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 5837, 8680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5837, 8680 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 5837, 8680 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 5837, 8680 is 1.
HCF(5837, 8680) = 1
HCF of 5837, 8680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5837, 8680 is 1.
Highest Common Factor of 5837,8680 is 1
Step 1: Since 8680 > 5837, we apply the division lemma to 8680 and 5837, to get
8680 = 5837 x 1 + 2843
Step 2: Since the reminder 5837 ≠ 0, we apply division lemma to 2843 and 5837, to get
5837 = 2843 x 2 + 151
Step 3: We consider the new divisor 2843 and the new remainder 151, and apply the division lemma to get
2843 = 151 x 18 + 125
We consider the new divisor 151 and the new remainder 125,and apply the division lemma to get
151 = 125 x 1 + 26
We consider the new divisor 125 and the new remainder 26,and apply the division lemma to get
125 = 26 x 4 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 5837 and 8680 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(125,26) = HCF(151,125) = HCF(2843,151) = HCF(5837,2843) = HCF(8680,5837) .
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Frequently Asked Questions on HCF of 5837, 8680 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 5837, 8680?
Answer: HCF of 5837, 8680 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5837, 8680 using Euclid's Algorithm?
Answer: For arbitrary numbers 5837, 8680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.