Highest Common Factor of 427, 671, 624 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 427, 671, 624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 427, 671, 624 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 427, 671, 624 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 427, 671, 624 is 1.
HCF(427, 671, 624) = 1
HCF of 427, 671, 624 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 427, 671, 624 is 1.
Highest Common Factor of 427,671,624 is 1
Step 1: Since 671 > 427, we apply the division lemma to 671 and 427, to get
671 = 427 x 1 + 244
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 244 and 427, to get
427 = 244 x 1 + 183
Step 3: We consider the new divisor 244 and the new remainder 183, and apply the division lemma to get
244 = 183 x 1 + 61
We consider the new divisor 183 and the new remainder 61, and apply the division lemma to get
183 = 61 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 427 and 671 is 61
Notice that 61 = HCF(183,61) = HCF(244,183) = HCF(427,244) = HCF(671,427) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 624 > 61, we apply the division lemma to 624 and 61, to get
624 = 61 x 10 + 14
Step 2: Since the reminder 61 ≠ 0, we apply division lemma to 14 and 61, to get
61 = 14 x 4 + 5
Step 3: We consider the new divisor 14 and the new remainder 5, and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 61 and 624 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(61,14) = HCF(624,61) .
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Frequently Asked Questions on HCF of 427, 671, 624 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 427, 671, 624?
Answer: HCF of 427, 671, 624 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 427, 671, 624 using Euclid's Algorithm?
Answer: For arbitrary numbers 427, 671, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
