Highest Common Factor of 772, 476, 469 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 772, 476, 469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 476, 469 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 772, 476, 469 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 772, 476, 469 is 1.
HCF(772, 476, 469) = 1
HCF of 772, 476, 469 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 476, 469 is 1.
Highest Common Factor of 772,476,469 is 1
Step 1: Since 772 > 476, we apply the division lemma to 772 and 476, to get
772 = 476 x 1 + 296
Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 296 and 476, to get
476 = 296 x 1 + 180
Step 3: We consider the new divisor 296 and the new remainder 180, and apply the division lemma to get
296 = 180 x 1 + 116
We consider the new divisor 180 and the new remainder 116,and apply the division lemma to get
180 = 116 x 1 + 64
We consider the new divisor 116 and the new remainder 64,and apply the division lemma to get
116 = 64 x 1 + 52
We consider the new divisor 64 and the new remainder 52,and apply the division lemma to get
64 = 52 x 1 + 12
We consider the new divisor 52 and the new remainder 12,and apply the division lemma to get
52 = 12 x 4 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 772 and 476 is 4
Notice that 4 = HCF(12,4) = HCF(52,12) = HCF(64,52) = HCF(116,64) = HCF(180,116) = HCF(296,180) = HCF(476,296) = HCF(772,476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 469 > 4, we apply the division lemma to 469 and 4, to get
469 = 4 x 117 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 469 is 1
Notice that 1 = HCF(4,1) = HCF(469,4) .
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Frequently Asked Questions on HCF of 772, 476, 469 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 772, 476, 469?
Answer: HCF of 772, 476, 469 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 476, 469 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 476, 469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
