Highest Common Factor of 691, 91621 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 691, 91621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 691, 91621 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 691, 91621 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 691, 91621 is 1.
HCF(691, 91621) = 1
HCF of 691, 91621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 691, 91621 is 1.
Highest Common Factor of 691,91621 is 1
Step 1: Since 91621 > 691, we apply the division lemma to 91621 and 691, to get
91621 = 691 x 132 + 409
Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 409 and 691, to get
691 = 409 x 1 + 282
Step 3: We consider the new divisor 409 and the new remainder 282, and apply the division lemma to get
409 = 282 x 1 + 127
We consider the new divisor 282 and the new remainder 127,and apply the division lemma to get
282 = 127 x 2 + 28
We consider the new divisor 127 and the new remainder 28,and apply the division lemma to get
127 = 28 x 4 + 15
We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get
28 = 15 x 1 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 691 and 91621 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(127,28) = HCF(282,127) = HCF(409,282) = HCF(691,409) = HCF(91621,691) .
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Frequently Asked Questions on HCF of 691, 91621 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 691, 91621?
Answer: HCF of 691, 91621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 691, 91621 using Euclid's Algorithm?
Answer: For arbitrary numbers 691, 91621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
