Highest Common Factor of 835, 763, 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 835, 763, 462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 763, 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 835, 763, 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 835, 763, 462 is 1.
HCF(835, 763, 462) = 1
HCF of 835, 763, 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 835, 763, 462 is 1.
Highest Common Factor of 835,763,462 is 1
Step 1: Since 835 > 763, we apply the division lemma to 835 and 763, to get
835 = 763 x 1 + 72
Step 2: Since the reminder 763 ≠ 0, we apply division lemma to 72 and 763, to get
763 = 72 x 10 + 43
Step 3: We consider the new divisor 72 and the new remainder 43, and apply the division lemma to get
72 = 43 x 1 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 763 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(72,43) = HCF(763,72) = HCF(835,763) .
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 835, 763, 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 835, 763, 462?
Answer: HCF of 835, 763, 462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 763, 462 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 763, 462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.