Highest Common Factor of 616, 462, 536 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 616, 462, 536 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 462, 536 is 2 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 616, 462, 536 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 616, 462, 536 is 2.
HCF(616, 462, 536) = 2
HCF of 616, 462, 536 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 462, 536 is 2.
Highest Common Factor of 616,462,536 is 2
Step 1: Since 616 > 462, we apply the division lemma to 616 and 462, to get
616 = 462 x 1 + 154
Step 2: Since the reminder 462 ≠ 0, we apply division lemma to 154 and 462, to get
462 = 154 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 154, the HCF of 616 and 462 is 154
Notice that 154 = HCF(462,154) = HCF(616,462) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 536 > 154, we apply the division lemma to 536 and 154, to get
536 = 154 x 3 + 74
Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 74 and 154, to get
154 = 74 x 2 + 6
Step 3: We consider the new divisor 74 and the new remainder 6, and apply the division lemma to get
74 = 6 x 12 + 2
We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 154 and 536 is 2
Notice that 2 = HCF(6,2) = HCF(74,6) = HCF(154,74) = HCF(536,154) .
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Frequently Asked Questions on HCF of 616, 462, 536 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 616, 462, 536?
Answer: HCF of 616, 462, 536 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 462, 536 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 462, 536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.