Highest Common Factor of 836, 8909, 4531 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 836, 8909, 4531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 8909, 4531 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 836, 8909, 4531 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 836, 8909, 4531 is 1.
HCF(836, 8909, 4531) = 1
HCF of 836, 8909, 4531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 8909, 4531 is 1.
Highest Common Factor of 836,8909,4531 is 1
Step 1: Since 8909 > 836, we apply the division lemma to 8909 and 836, to get
8909 = 836 x 10 + 549
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 549 and 836, to get
836 = 549 x 1 + 287
Step 3: We consider the new divisor 549 and the new remainder 287, and apply the division lemma to get
549 = 287 x 1 + 262
We consider the new divisor 287 and the new remainder 262,and apply the division lemma to get
287 = 262 x 1 + 25
We consider the new divisor 262 and the new remainder 25,and apply the division lemma to get
262 = 25 x 10 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 836 and 8909 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(262,25) = HCF(287,262) = HCF(549,287) = HCF(836,549) = HCF(8909,836) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4531 > 1, we apply the division lemma to 4531 and 1, to get
4531 = 1 x 4531 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4531 is 1
Notice that 1 = HCF(4531,1) .
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Frequently Asked Questions on HCF of 836, 8909, 4531 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 836, 8909, 4531?
Answer: HCF of 836, 8909, 4531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 8909, 4531 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 8909, 4531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.