Highest Common Factor of 711, 1451, 4204 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 711, 1451, 4204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 711, 1451, 4204 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 711, 1451, 4204 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 711, 1451, 4204 is 1.
HCF(711, 1451, 4204) = 1
HCF of 711, 1451, 4204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 711, 1451, 4204 is 1.
Highest Common Factor of 711,1451,4204 is 1
Step 1: Since 1451 > 711, we apply the division lemma to 1451 and 711, to get
1451 = 711 x 2 + 29
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 29 and 711, to get
711 = 29 x 24 + 15
Step 3: We consider the new divisor 29 and the new remainder 15, and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 711 and 1451 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(711,29) = HCF(1451,711) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4204 > 1, we apply the division lemma to 4204 and 1, to get
4204 = 1 x 4204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4204 is 1
Notice that 1 = HCF(4204,1) .
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Frequently Asked Questions on HCF of 711, 1451, 4204 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 711, 1451, 4204?
Answer: HCF of 711, 1451, 4204 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 711, 1451, 4204 using Euclid's Algorithm?
Answer: For arbitrary numbers 711, 1451, 4204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.