Highest Common Factor of 437, 605, 661, 66 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 437, 605, 661, 66 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 437, 605, 661, 66 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 437, 605, 661, 66 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 437, 605, 661, 66 is 1.
HCF(437, 605, 661, 66) = 1
HCF of 437, 605, 661, 66 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 437, 605, 661, 66 is 1.
Highest Common Factor of 437,605,661,66 is 1
Step 1: Since 605 > 437, we apply the division lemma to 605 and 437, to get
605 = 437 x 1 + 168
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 168 and 437, to get
437 = 168 x 2 + 101
Step 3: We consider the new divisor 168 and the new remainder 101, and apply the division lemma to get
168 = 101 x 1 + 67
We consider the new divisor 101 and the new remainder 67,and apply the division lemma to get
101 = 67 x 1 + 34
We consider the new divisor 67 and the new remainder 34,and apply the division lemma to get
67 = 34 x 1 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 437 and 605 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(67,34) = HCF(101,67) = HCF(168,101) = HCF(437,168) = HCF(605,437) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 661 > 1, we apply the division lemma to 661 and 1, to get
661 = 1 x 661 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 661 is 1
Notice that 1 = HCF(661,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66 > 1, we apply the division lemma to 66 and 1, to get
66 = 1 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66 is 1
Notice that 1 = HCF(66,1) .
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Frequently Asked Questions on HCF of 437, 605, 661, 66 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 437, 605, 661, 66?
Answer: HCF of 437, 605, 661, 66 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 437, 605, 661, 66 using Euclid's Algorithm?
Answer: For arbitrary numbers 437, 605, 661, 66 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.