Highest Common Factor of 520, 572, 606, 16 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 520, 572, 606, 16 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 572, 606, 16 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 520, 572, 606, 16 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 520, 572, 606, 16 is 2.
HCF(520, 572, 606, 16) = 2
HCF of 520, 572, 606, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 572, 606, 16 is 2.
Highest Common Factor of 520,572,606,16 is 2
Step 1: Since 572 > 520, we apply the division lemma to 572 and 520, to get
572 = 520 x 1 + 52
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 52 and 520, to get
520 = 52 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 520 and 572 is 52
Notice that 52 = HCF(520,52) = HCF(572,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 606 > 52, we apply the division lemma to 606 and 52, to get
606 = 52 x 11 + 34
Step 2: Since the reminder 52 ≠ 0, we apply division lemma to 34 and 52, to get
52 = 34 x 1 + 18
Step 3: We consider the new divisor 34 and the new remainder 18, and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 52 and 606 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(52,34) = HCF(606,52) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 2, we apply the division lemma to 16 and 2, to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 16 is 2
Notice that 2 = HCF(16,2) .
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Frequently Asked Questions on HCF of 520, 572, 606, 16 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 520, 572, 606, 16?
Answer: HCF of 520, 572, 606, 16 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 572, 606, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 572, 606, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.