Highest Common Factor of 538, 747, 631 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 538, 747, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 538, 747, 631 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 538, 747, 631 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 538, 747, 631 is 1.
HCF(538, 747, 631) = 1
HCF of 538, 747, 631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 538, 747, 631 is 1.
Highest Common Factor of 538,747,631 is 1
Step 1: Since 747 > 538, we apply the division lemma to 747 and 538, to get
747 = 538 x 1 + 209
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 209 and 538, to get
538 = 209 x 2 + 120
Step 3: We consider the new divisor 209 and the new remainder 120, and apply the division lemma to get
209 = 120 x 1 + 89
We consider the new divisor 120 and the new remainder 89,and apply the division lemma to get
120 = 89 x 1 + 31
We consider the new divisor 89 and the new remainder 31,and apply the division lemma to get
89 = 31 x 2 + 27
We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get
31 = 27 x 1 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 538 and 747 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(89,31) = HCF(120,89) = HCF(209,120) = HCF(538,209) = HCF(747,538) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 631 > 1, we apply the division lemma to 631 and 1, to get
631 = 1 x 631 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 631 is 1
Notice that 1 = HCF(631,1) .
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Frequently Asked Questions on HCF of 538, 747, 631 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 538, 747, 631?
Answer: HCF of 538, 747, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 538, 747, 631 using Euclid's Algorithm?
Answer: For arbitrary numbers 538, 747, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
