Highest Common Factor of 665, 437, 267 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 665, 437, 267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 665, 437, 267 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 665, 437, 267 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 665, 437, 267 is 1.
HCF(665, 437, 267) = 1
HCF of 665, 437, 267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 665, 437, 267 is 1.
Highest Common Factor of 665,437,267 is 1
Step 1: Since 665 > 437, we apply the division lemma to 665 and 437, to get
665 = 437 x 1 + 228
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 228 and 437, to get
437 = 228 x 1 + 209
Step 3: We consider the new divisor 228 and the new remainder 209, and apply the division lemma to get
228 = 209 x 1 + 19
We consider the new divisor 209 and the new remainder 19, and apply the division lemma to get
209 = 19 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 665 and 437 is 19
Notice that 19 = HCF(209,19) = HCF(228,209) = HCF(437,228) = HCF(665,437) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 267 > 19, we apply the division lemma to 267 and 19, to get
267 = 19 x 14 + 1
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 1 and 19, to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 267 is 1
Notice that 1 = HCF(19,1) = HCF(267,19) .
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Frequently Asked Questions on HCF of 665, 437, 267 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 665, 437, 267?
Answer: HCF of 665, 437, 267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 665, 437, 267 using Euclid's Algorithm?
Answer: For arbitrary numbers 665, 437, 267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.