Highest Common Factor of 690, 5261 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 690, 5261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 690, 5261 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 690, 5261 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 690, 5261 is 1.
HCF(690, 5261) = 1
HCF of 690, 5261 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 690, 5261 is 1.
Highest Common Factor of 690,5261 is 1
Step 1: Since 5261 > 690, we apply the division lemma to 5261 and 690, to get
5261 = 690 x 7 + 431
Step 2: Since the reminder 690 ≠ 0, we apply division lemma to 431 and 690, to get
690 = 431 x 1 + 259
Step 3: We consider the new divisor 431 and the new remainder 259, and apply the division lemma to get
431 = 259 x 1 + 172
We consider the new divisor 259 and the new remainder 172,and apply the division lemma to get
259 = 172 x 1 + 87
We consider the new divisor 172 and the new remainder 87,and apply the division lemma to get
172 = 87 x 1 + 85
We consider the new divisor 87 and the new remainder 85,and apply the division lemma to get
87 = 85 x 1 + 2
We consider the new divisor 85 and the new remainder 2,and apply the division lemma to get
85 = 2 x 42 + 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 690 and 5261 is 1
Notice that 1 = HCF(2,1) = HCF(85,2) = HCF(87,85) = HCF(172,87) = HCF(259,172) = HCF(431,259) = HCF(690,431) = HCF(5261,690) .
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Frequently Asked Questions on HCF of 690, 5261 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 690, 5261?
Answer: HCF of 690, 5261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 690, 5261 using Euclid's Algorithm?
Answer: For arbitrary numbers 690, 5261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
