Highest Common Factor of 3658, 6535 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 3658, 6535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3658, 6535 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 3658, 6535 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 3658, 6535 is 1.
HCF(3658, 6535) = 1
HCF of 3658, 6535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3658, 6535 is 1.
Highest Common Factor of 3658,6535 is 1
Step 1: Since 6535 > 3658, we apply the division lemma to 6535 and 3658, to get
6535 = 3658 x 1 + 2877
Step 2: Since the reminder 3658 ≠ 0, we apply division lemma to 2877 and 3658, to get
3658 = 2877 x 1 + 781
Step 3: We consider the new divisor 2877 and the new remainder 781, and apply the division lemma to get
2877 = 781 x 3 + 534
We consider the new divisor 781 and the new remainder 534,and apply the division lemma to get
781 = 534 x 1 + 247
We consider the new divisor 534 and the new remainder 247,and apply the division lemma to get
534 = 247 x 2 + 40
We consider the new divisor 247 and the new remainder 40,and apply the division lemma to get
247 = 40 x 6 + 7
We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get
40 = 7 x 5 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 3658 and 6535 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(247,40) = HCF(534,247) = HCF(781,534) = HCF(2877,781) = HCF(3658,2877) = HCF(6535,3658) .
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Frequently Asked Questions on HCF of 3658, 6535 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 3658, 6535?
Answer: HCF of 3658, 6535 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3658, 6535 using Euclid's Algorithm?
Answer: For arbitrary numbers 3658, 6535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.