Highest Common Factor of 537, 302, 192, 216 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, 302, 192, 216 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 537, 302, 192, 216 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, 302, 192, 216 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, 302, 192, 216 is 1.
HCF(537, 302, 192, 216) = 1
HCF of 537, 302, 192, 216 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, 302, 192, 216 is 1.
Highest Common Factor of 537,302,192,216 is 1
Step 1: Since 537 > 302, we apply the division lemma to 537 and 302, to get
537 = 302 x 1 + 235
Step 2: Since the reminder 302 ≠ 0, we apply division lemma to 235 and 302, to get
302 = 235 x 1 + 67
Step 3: We consider the new divisor 235 and the new remainder 67, and apply the division lemma to get
235 = 67 x 3 + 34
We consider the new divisor 67 and the new remainder 34,and apply the division lemma to get
67 = 34 x 1 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 537 and 302 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(67,34) = HCF(235,67) = HCF(302,235) = HCF(537,302) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 192 > 1, we apply the division lemma to 192 and 1, to get
192 = 1 x 192 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 192 is 1
Notice that 1 = HCF(192,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 216 > 1, we apply the division lemma to 216 and 1, to get
216 = 1 x 216 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 216 is 1
Notice that 1 = HCF(216,1) .
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Frequently Asked Questions on HCF of 537, 302, 192, 216 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, 302, 192, 216?
Answer: HCF of 537, 302, 192, 216 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 537, 302, 192, 216 using Euclid's Algorithm?
Answer: For arbitrary numbers 537, 302, 192, 216 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.