Highest Common Factor of 183, 732, 429, 632 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 183, 732, 429, 632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 183, 732, 429, 632 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 183, 732, 429, 632 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 183, 732, 429, 632 is 1.
HCF(183, 732, 429, 632) = 1
HCF of 183, 732, 429, 632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 183, 732, 429, 632 is 1.
Highest Common Factor of 183,732,429,632 is 1
Step 1: Since 732 > 183, we apply the division lemma to 732 and 183, to get
732 = 183 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 183, the HCF of 183 and 732 is 183
Notice that 183 = HCF(732,183) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 429 > 183, we apply the division lemma to 429 and 183, to get
429 = 183 x 2 + 63
Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 63 and 183, to get
183 = 63 x 2 + 57
Step 3: We consider the new divisor 63 and the new remainder 57, and apply the division lemma to get
63 = 57 x 1 + 6
We consider the new divisor 57 and the new remainder 6,and apply the division lemma to get
57 = 6 x 9 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 183 and 429 is 3
Notice that 3 = HCF(6,3) = HCF(57,6) = HCF(63,57) = HCF(183,63) = HCF(429,183) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 3, we apply the division lemma to 632 and 3, to get
632 = 3 x 210 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 632 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(632,3) .
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Frequently Asked Questions on HCF of 183, 732, 429, 632 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 183, 732, 429, 632?
Answer: HCF of 183, 732, 429, 632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 183, 732, 429, 632 using Euclid's Algorithm?
Answer: For arbitrary numbers 183, 732, 429, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.