Highest Common Factor of 636, 849, 36 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 636, 849, 36 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 849, 36 is 3 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 636, 849, 36 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 636, 849, 36 is 3.
HCF(636, 849, 36) = 3
HCF of 636, 849, 36 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 849, 36 is 3.
Highest Common Factor of 636,849,36 is 3
Step 1: Since 849 > 636, we apply the division lemma to 849 and 636, to get
849 = 636 x 1 + 213
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 213 and 636, to get
636 = 213 x 2 + 210
Step 3: We consider the new divisor 213 and the new remainder 210, and apply the division lemma to get
213 = 210 x 1 + 3
We consider the new divisor 210 and the new remainder 3, and apply the division lemma to get
210 = 3 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 636 and 849 is 3
Notice that 3 = HCF(210,3) = HCF(213,210) = HCF(636,213) = HCF(849,636) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 3, we apply the division lemma to 36 and 3, to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 36 is 3
Notice that 3 = HCF(36,3) .
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Frequently Asked Questions on HCF of 636, 849, 36 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 636, 849, 36?
Answer: HCF of 636, 849, 36 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 849, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 849, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.