Highest Common Factor of 477, 806, 101 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 477, 806, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 477, 806, 101 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 477, 806, 101 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 477, 806, 101 is 1.
HCF(477, 806, 101) = 1
HCF of 477, 806, 101 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 477, 806, 101 is 1.
Highest Common Factor of 477,806,101 is 1
Step 1: Since 806 > 477, we apply the division lemma to 806 and 477, to get
806 = 477 x 1 + 329
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 329 and 477, to get
477 = 329 x 1 + 148
Step 3: We consider the new divisor 329 and the new remainder 148, and apply the division lemma to get
329 = 148 x 2 + 33
We consider the new divisor 148 and the new remainder 33,and apply the division lemma to get
148 = 33 x 4 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 477 and 806 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(148,33) = HCF(329,148) = HCF(477,329) = HCF(806,477) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get
101 = 1 x 101 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1
Notice that 1 = HCF(101,1) .
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Frequently Asked Questions on HCF of 477, 806, 101 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 477, 806, 101?
Answer: HCF of 477, 806, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 477, 806, 101 using Euclid's Algorithm?
Answer: For arbitrary numbers 477, 806, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.