Highest Common Factor of 659, 6523 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 659, 6523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 659, 6523 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 659, 6523 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 659, 6523 is 1.
HCF(659, 6523) = 1
HCF of 659, 6523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 659, 6523 is 1.
Highest Common Factor of 659,6523 is 1
Step 1: Since 6523 > 659, we apply the division lemma to 6523 and 659, to get
6523 = 659 x 9 + 592
Step 2: Since the reminder 659 ≠ 0, we apply division lemma to 592 and 659, to get
659 = 592 x 1 + 67
Step 3: We consider the new divisor 592 and the new remainder 67, and apply the division lemma to get
592 = 67 x 8 + 56
We consider the new divisor 67 and the new remainder 56,and apply the division lemma to get
67 = 56 x 1 + 11
We consider the new divisor 56 and the new remainder 11,and apply the division lemma to get
56 = 11 x 5 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 659 and 6523 is 1
Notice that 1 = HCF(11,1) = HCF(56,11) = HCF(67,56) = HCF(592,67) = HCF(659,592) = HCF(6523,659) .
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Frequently Asked Questions on HCF of 659, 6523 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 659, 6523?
Answer: HCF of 659, 6523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 659, 6523 using Euclid's Algorithm?
Answer: For arbitrary numbers 659, 6523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
