Highest Common Factor of 537, 994, 132, 133 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 537, 994, 132, 133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 537, 994, 132, 133 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 537, 994, 132, 133 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 537, 994, 132, 133 is 1.
HCF(537, 994, 132, 133) = 1
HCF of 537, 994, 132, 133 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 537, 994, 132, 133 is 1.
Highest Common Factor of 537,994,132,133 is 1
Step 1: Since 994 > 537, we apply the division lemma to 994 and 537, to get
994 = 537 x 1 + 457
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 457 and 537, to get
537 = 457 x 1 + 80
Step 3: We consider the new divisor 457 and the new remainder 80, and apply the division lemma to get
457 = 80 x 5 + 57
We consider the new divisor 80 and the new remainder 57,and apply the division lemma to get
80 = 57 x 1 + 23
We consider the new divisor 57 and the new remainder 23,and apply the division lemma to get
57 = 23 x 2 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 537 and 994 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(57,23) = HCF(80,57) = HCF(457,80) = HCF(537,457) = HCF(994,537) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 132 > 1, we apply the division lemma to 132 and 1, to get
132 = 1 x 132 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 132 is 1
Notice that 1 = HCF(132,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 133 > 1, we apply the division lemma to 133 and 1, to get
133 = 1 x 133 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 133 is 1
Notice that 1 = HCF(133,1) .
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Frequently Asked Questions on HCF of 537, 994, 132, 133 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 537, 994, 132, 133?
Answer: HCF of 537, 994, 132, 133 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 537, 994, 132, 133 using Euclid's Algorithm?
Answer: For arbitrary numbers 537, 994, 132, 133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.