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 171, 452, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 171, 452, 537 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 171, 452, 537 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 171, 452, 537 is 1.
HCF(171, 452, 537) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 171, 452, 537 is 1.
Step 1: Since 452 > 171, we apply the division lemma to 452 and 171, to get
452 = 171 x 2 + 110
Step 2: Since the reminder 171 ≠ 0, we apply division lemma to 110 and 171, to get
171 = 110 x 1 + 61
Step 3: We consider the new divisor 110 and the new remainder 61, and apply the division lemma to get
110 = 61 x 1 + 49
We consider the new divisor 61 and the new remainder 49,and apply the division lemma to get
61 = 49 x 1 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 171 and 452 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(61,49) = HCF(110,61) = HCF(171,110) = HCF(452,171) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 537 > 1, we apply the division lemma to 537 and 1, to get
537 = 1 x 537 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 537 is 1
Notice that 1 = HCF(537,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 171, 452, 537?
Answer: HCF of 171, 452, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 171, 452, 537 using Euclid's Algorithm?
Answer: For arbitrary numbers 171, 452, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.