Highest Common Factor of 436, 666, 42, 571 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 436, 666, 42, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 436, 666, 42, 571 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 436, 666, 42, 571 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 436, 666, 42, 571 is 1.
HCF(436, 666, 42, 571) = 1
HCF of 436, 666, 42, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 436, 666, 42, 571 is 1.
Highest Common Factor of 436,666,42,571 is 1
Step 1: Since 666 > 436, we apply the division lemma to 666 and 436, to get
666 = 436 x 1 + 230
Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 230 and 436, to get
436 = 230 x 1 + 206
Step 3: We consider the new divisor 230 and the new remainder 206, and apply the division lemma to get
230 = 206 x 1 + 24
We consider the new divisor 206 and the new remainder 24,and apply the division lemma to get
206 = 24 x 8 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 436 and 666 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(206,24) = HCF(230,206) = HCF(436,230) = HCF(666,436) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42 > 2, we apply the division lemma to 42 and 2, to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 42 is 2
Notice that 2 = HCF(42,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 2, we apply the division lemma to 571 and 2, to get
571 = 2 x 285 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(571,2) .
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Frequently Asked Questions on HCF of 436, 666, 42, 571 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 436, 666, 42, 571?
Answer: HCF of 436, 666, 42, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 436, 666, 42, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 436, 666, 42, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.