Highest Common Factor of 963, 561, 116, 28 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 963, 561, 116, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 561, 116, 28 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 963, 561, 116, 28 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 963, 561, 116, 28 is 1.
HCF(963, 561, 116, 28) = 1
HCF of 963, 561, 116, 28 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 561, 116, 28 is 1.
Highest Common Factor of 963,561,116,28 is 1
Step 1: Since 963 > 561, we apply the division lemma to 963 and 561, to get
963 = 561 x 1 + 402
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 402 and 561, to get
561 = 402 x 1 + 159
Step 3: We consider the new divisor 402 and the new remainder 159, and apply the division lemma to get
402 = 159 x 2 + 84
We consider the new divisor 159 and the new remainder 84,and apply the division lemma to get
159 = 84 x 1 + 75
We consider the new divisor 84 and the new remainder 75,and apply the division lemma to get
84 = 75 x 1 + 9
We consider the new divisor 75 and the new remainder 9,and apply the division lemma to get
75 = 9 x 8 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 963 and 561 is 3
Notice that 3 = HCF(9,3) = HCF(75,9) = HCF(84,75) = HCF(159,84) = HCF(402,159) = HCF(561,402) = HCF(963,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 116 > 3, we apply the division lemma to 116 and 3, to get
116 = 3 x 38 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 116 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(116,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1
Notice that 1 = HCF(28,1) .
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Frequently Asked Questions on HCF of 963, 561, 116, 28 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 963, 561, 116, 28?
Answer: HCF of 963, 561, 116, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 561, 116, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 561, 116, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.