Highest Common Factor of 963, 744, 453 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, 744, 453 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 744, 453 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 963, 744, 453 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, 744, 453 is 3.
HCF(963, 744, 453) = 3
HCF of 963, 744, 453 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, 744, 453 is 3.
Highest Common Factor of 963,744,453 is 3
Step 1: Since 963 > 744, we apply the division lemma to 963 and 744, to get
963 = 744 x 1 + 219
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 219 and 744, to get
744 = 219 x 3 + 87
Step 3: We consider the new divisor 219 and the new remainder 87, and apply the division lemma to get
219 = 87 x 2 + 45
We consider the new divisor 87 and the new remainder 45,and apply the division lemma to get
87 = 45 x 1 + 42
We consider the new divisor 45 and the new remainder 42,and apply the division lemma to get
45 = 42 x 1 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 963 and 744 is 3
Notice that 3 = HCF(42,3) = HCF(45,42) = HCF(87,45) = HCF(219,87) = HCF(744,219) = HCF(963,744) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 453 > 3, we apply the division lemma to 453 and 3, to get
453 = 3 x 151 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 453 is 3
Notice that 3 = HCF(453,3) .
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Frequently Asked Questions on HCF of 963, 744, 453 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, 744, 453?
Answer: HCF of 963, 744, 453 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 744, 453 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 744, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.