Highest Common Factor of 636, 112, 299, 15 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, 112, 299, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 112, 299, 15 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 636, 112, 299, 15 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, 112, 299, 15 is 1.
HCF(636, 112, 299, 15) = 1
HCF of 636, 112, 299, 15 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, 112, 299, 15 is 1.
Highest Common Factor of 636,112,299,15 is 1
Step 1: Since 636 > 112, we apply the division lemma to 636 and 112, to get
636 = 112 x 5 + 76
Step 2: Since the reminder 112 ≠ 0, we apply division lemma to 76 and 112, to get
112 = 76 x 1 + 36
Step 3: We consider the new divisor 76 and the new remainder 36, and apply the division lemma to get
76 = 36 x 2 + 4
We consider the new divisor 36 and the new remainder 4, and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 636 and 112 is 4
Notice that 4 = HCF(36,4) = HCF(76,36) = HCF(112,76) = HCF(636,112) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 299 > 4, we apply the division lemma to 299 and 4, to get
299 = 4 x 74 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 299 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(299,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
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Frequently Asked Questions on HCF of 636, 112, 299, 15 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, 112, 299, 15?
Answer: HCF of 636, 112, 299, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 112, 299, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 112, 299, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.