Highest Common Factor of 691, 6492 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, 6492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 691, 6492 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, 6492 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, 6492 is 1.
HCF(691, 6492) = 1
HCF of 691, 6492 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, 6492 is 1.
Highest Common Factor of 691,6492 is 1
Step 1: Since 6492 > 691, we apply the division lemma to 6492 and 691, to get
6492 = 691 x 9 + 273
Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 273 and 691, to get
691 = 273 x 2 + 145
Step 3: We consider the new divisor 273 and the new remainder 145, and apply the division lemma to get
273 = 145 x 1 + 128
We consider the new divisor 145 and the new remainder 128,and apply the division lemma to get
145 = 128 x 1 + 17
We consider the new divisor 128 and the new remainder 17,and apply the division lemma to get
128 = 17 x 7 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 691 and 6492 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(128,17) = HCF(145,128) = HCF(273,145) = HCF(691,273) = HCF(6492,691) .
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Frequently Asked Questions on HCF of 691, 6492 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, 6492?
Answer: HCF of 691, 6492 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 691, 6492 using Euclid's Algorithm?
Answer: For arbitrary numbers 691, 6492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.