Highest Common Factor of 506, 784, 633 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 506, 784, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 506, 784, 633 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 506, 784, 633 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 506, 784, 633 is 1.
HCF(506, 784, 633) = 1
HCF of 506, 784, 633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 506, 784, 633 is 1.
Highest Common Factor of 506,784,633 is 1
Step 1: Since 784 > 506, we apply the division lemma to 784 and 506, to get
784 = 506 x 1 + 278
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 278 and 506, to get
506 = 278 x 1 + 228
Step 3: We consider the new divisor 278 and the new remainder 228, and apply the division lemma to get
278 = 228 x 1 + 50
We consider the new divisor 228 and the new remainder 50,and apply the division lemma to get
228 = 50 x 4 + 28
We consider the new divisor 50 and the new remainder 28,and apply the division lemma to get
50 = 28 x 1 + 22
We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get
28 = 22 x 1 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 506 and 784 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(50,28) = HCF(228,50) = HCF(278,228) = HCF(506,278) = HCF(784,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 633 > 2, we apply the division lemma to 633 and 2, to get
633 = 2 x 316 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 633 is 1
Notice that 1 = HCF(2,1) = HCF(633,2) .
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Frequently Asked Questions on HCF of 506, 784, 633 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 506, 784, 633?
Answer: HCF of 506, 784, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 506, 784, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 506, 784, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
