Highest Common Factor of 491, 8634, 8424 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 491, 8634, 8424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 491, 8634, 8424 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 491, 8634, 8424 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 491, 8634, 8424 is 1.
HCF(491, 8634, 8424) = 1
HCF of 491, 8634, 8424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 491, 8634, 8424 is 1.
Highest Common Factor of 491,8634,8424 is 1
Step 1: Since 8634 > 491, we apply the division lemma to 8634 and 491, to get
8634 = 491 x 17 + 287
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 287 and 491, to get
491 = 287 x 1 + 204
Step 3: We consider the new divisor 287 and the new remainder 204, and apply the division lemma to get
287 = 204 x 1 + 83
We consider the new divisor 204 and the new remainder 83,and apply the division lemma to get
204 = 83 x 2 + 38
We consider the new divisor 83 and the new remainder 38,and apply the division lemma to get
83 = 38 x 2 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 8634 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(83,38) = HCF(204,83) = HCF(287,204) = HCF(491,287) = HCF(8634,491) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8424 > 1, we apply the division lemma to 8424 and 1, to get
8424 = 1 x 8424 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8424 is 1
Notice that 1 = HCF(8424,1) .
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Frequently Asked Questions on HCF of 491, 8634, 8424 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 491, 8634, 8424?
Answer: HCF of 491, 8634, 8424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 491, 8634, 8424 using Euclid's Algorithm?
Answer: For arbitrary numbers 491, 8634, 8424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.