Highest Common Factor of 784, 335, 17, 462 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 784, 335, 17, 462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 784, 335, 17, 462 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 784, 335, 17, 462 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 784, 335, 17, 462 is 1.
HCF(784, 335, 17, 462) = 1
HCF of 784, 335, 17, 462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 784, 335, 17, 462 is 1.
Highest Common Factor of 784,335,17,462 is 1
Step 1: Since 784 > 335, we apply the division lemma to 784 and 335, to get
784 = 335 x 2 + 114
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 114 and 335, to get
335 = 114 x 2 + 107
Step 3: We consider the new divisor 114 and the new remainder 107, and apply the division lemma to get
114 = 107 x 1 + 7
We consider the new divisor 107 and the new remainder 7,and apply the division lemma to get
107 = 7 x 15 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
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 784 and 335 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(107,7) = HCF(114,107) = HCF(335,114) = HCF(784,335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 462 > 1, we apply the division lemma to 462 and 1, to get
462 = 1 x 462 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 462 is 1
Notice that 1 = HCF(462,1) .
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Frequently Asked Questions on HCF of 784, 335, 17, 462 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 784, 335, 17, 462?
Answer: HCF of 784, 335, 17, 462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 784, 335, 17, 462 using Euclid's Algorithm?
Answer: For arbitrary numbers 784, 335, 17, 462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.