Highest Common Factor of 832, 487, 822, 63 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 832, 487, 822, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 832, 487, 822, 63 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 832, 487, 822, 63 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 832, 487, 822, 63 is 1.
HCF(832, 487, 822, 63) = 1
HCF of 832, 487, 822, 63 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 832, 487, 822, 63 is 1.
Highest Common Factor of 832,487,822,63 is 1
Step 1: Since 832 > 487, we apply the division lemma to 832 and 487, to get
832 = 487 x 1 + 345
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 345 and 487, to get
487 = 345 x 1 + 142
Step 3: We consider the new divisor 345 and the new remainder 142, and apply the division lemma to get
345 = 142 x 2 + 61
We consider the new divisor 142 and the new remainder 61,and apply the division lemma to get
142 = 61 x 2 + 20
We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get
61 = 20 x 3 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 832 and 487 is 1
Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(142,61) = HCF(345,142) = HCF(487,345) = HCF(832,487) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 822 > 1, we apply the division lemma to 822 and 1, to get
822 = 1 x 822 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 822 is 1
Notice that 1 = HCF(822,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1
Notice that 1 = HCF(63,1) .
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Frequently Asked Questions on HCF of 832, 487, 822, 63 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 832, 487, 822, 63?
Answer: HCF of 832, 487, 822, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 832, 487, 822, 63 using Euclid's Algorithm?
Answer: For arbitrary numbers 832, 487, 822, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.