Highest Common Factor of 606, 404, 711, 73 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 606, 404, 711, 73 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 606, 404, 711, 73 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 606, 404, 711, 73 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 606, 404, 711, 73 is 1.
HCF(606, 404, 711, 73) = 1
HCF of 606, 404, 711, 73 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 606, 404, 711, 73 is 1.
Highest Common Factor of 606,404,711,73 is 1
Step 1: Since 606 > 404, we apply the division lemma to 606 and 404, to get
606 = 404 x 1 + 202
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 202 and 404, to get
404 = 202 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 202, the HCF of 606 and 404 is 202
Notice that 202 = HCF(404,202) = HCF(606,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 711 > 202, we apply the division lemma to 711 and 202, to get
711 = 202 x 3 + 105
Step 2: Since the reminder 202 ≠ 0, we apply division lemma to 105 and 202, to get
202 = 105 x 1 + 97
Step 3: We consider the new divisor 105 and the new remainder 97, and apply the division lemma to get
105 = 97 x 1 + 8
We consider the new divisor 97 and the new remainder 8,and apply the division lemma to get
97 = 8 x 12 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 202 and 711 is 1
Notice that 1 = HCF(8,1) = HCF(97,8) = HCF(105,97) = HCF(202,105) = HCF(711,202) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73 > 1, we apply the division lemma to 73 and 1, to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73 is 1
Notice that 1 = HCF(73,1) .
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Frequently Asked Questions on HCF of 606, 404, 711, 73 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 606, 404, 711, 73?
Answer: HCF of 606, 404, 711, 73 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 606, 404, 711, 73 using Euclid's Algorithm?
Answer: For arbitrary numbers 606, 404, 711, 73 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.