Highest Common Factor of 632, 633, 823, 203 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 632, 633, 823, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 632, 633, 823, 203 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 632, 633, 823, 203 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 632, 633, 823, 203 is 1.
HCF(632, 633, 823, 203) = 1
HCF of 632, 633, 823, 203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 632, 633, 823, 203 is 1.
Highest Common Factor of 632,633,823,203 is 1
Step 1: Since 633 > 632, we apply the division lemma to 633 and 632, to get
633 = 632 x 1 + 1
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 1 and 632, to get
632 = 1 x 632 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 632 and 633 is 1
Notice that 1 = HCF(632,1) = HCF(633,632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get
203 = 1 x 203 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1
Notice that 1 = HCF(203,1) .
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Frequently Asked Questions on HCF of 632, 633, 823, 203 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 632, 633, 823, 203?
Answer: HCF of 632, 633, 823, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 632, 633, 823, 203 using Euclid's Algorithm?
Answer: For arbitrary numbers 632, 633, 823, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.