Highest Common Factor of 669, 427, 645 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 669, 427, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 669, 427, 645 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 669, 427, 645 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 669, 427, 645 is 1.
HCF(669, 427, 645) = 1
HCF of 669, 427, 645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 669, 427, 645 is 1.
Highest Common Factor of 669,427,645 is 1
Step 1: Since 669 > 427, we apply the division lemma to 669 and 427, to get
669 = 427 x 1 + 242
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 242 and 427, to get
427 = 242 x 1 + 185
Step 3: We consider the new divisor 242 and the new remainder 185, and apply the division lemma to get
242 = 185 x 1 + 57
We consider the new divisor 185 and the new remainder 57,and apply the division lemma to get
185 = 57 x 3 + 14
We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get
57 = 14 x 4 + 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 669 and 427 is 1
Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(185,57) = HCF(242,185) = HCF(427,242) = HCF(669,427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 645 > 1, we apply the division lemma to 645 and 1, to get
645 = 1 x 645 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 645 is 1
Notice that 1 = HCF(645,1) .
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Frequently Asked Questions on HCF of 669, 427, 645 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 669, 427, 645?
Answer: HCF of 669, 427, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 669, 427, 645 using Euclid's Algorithm?
Answer: For arbitrary numbers 669, 427, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.