Highest Common Factor of 364, 570, 16, 636 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 364, 570, 16, 636 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 364, 570, 16, 636 is 2 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 364, 570, 16, 636 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 364, 570, 16, 636 is 2.
HCF(364, 570, 16, 636) = 2
HCF of 364, 570, 16, 636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 364, 570, 16, 636 is 2.
Highest Common Factor of 364,570,16,636 is 2
Step 1: Since 570 > 364, we apply the division lemma to 570 and 364, to get
570 = 364 x 1 + 206
Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 206 and 364, to get
364 = 206 x 1 + 158
Step 3: We consider the new divisor 206 and the new remainder 158, and apply the division lemma to get
206 = 158 x 1 + 48
We consider the new divisor 158 and the new remainder 48,and apply the division lemma to get
158 = 48 x 3 + 14
We consider the new divisor 48 and the new remainder 14,and apply the division lemma to get
48 = 14 x 3 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 364 and 570 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(48,14) = HCF(158,48) = HCF(206,158) = HCF(364,206) = HCF(570,364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 2, we apply the division lemma to 16 and 2, to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 16 is 2
Notice that 2 = HCF(16,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 636 > 2, we apply the division lemma to 636 and 2, to get
636 = 2 x 318 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 636 is 2
Notice that 2 = HCF(636,2) .
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Frequently Asked Questions on HCF of 364, 570, 16, 636 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 364, 570, 16, 636?
Answer: HCF of 364, 570, 16, 636 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 364, 570, 16, 636 using Euclid's Algorithm?
Answer: For arbitrary numbers 364, 570, 16, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.