Highest Common Factor of 634, 886, 381 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 634, 886, 381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 886, 381 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 634, 886, 381 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 634, 886, 381 is 1.
HCF(634, 886, 381) = 1
HCF of 634, 886, 381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 886, 381 is 1.
Highest Common Factor of 634,886,381 is 1
Step 1: Since 886 > 634, we apply the division lemma to 886 and 634, to get
886 = 634 x 1 + 252
Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 252 and 634, to get
634 = 252 x 2 + 130
Step 3: We consider the new divisor 252 and the new remainder 130, and apply the division lemma to get
252 = 130 x 1 + 122
We consider the new divisor 130 and the new remainder 122,and apply the division lemma to get
130 = 122 x 1 + 8
We consider the new divisor 122 and the new remainder 8,and apply the division lemma to get
122 = 8 x 15 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 634 and 886 is 2
Notice that 2 = HCF(8,2) = HCF(122,8) = HCF(130,122) = HCF(252,130) = HCF(634,252) = HCF(886,634) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 381 > 2, we apply the division lemma to 381 and 2, to get
381 = 2 x 190 + 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 381 is 1
Notice that 1 = HCF(2,1) = HCF(381,2) .
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Frequently Asked Questions on HCF of 634, 886, 381 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 634, 886, 381?
Answer: HCF of 634, 886, 381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 886, 381 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 886, 381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.