Highest Common Factor of 1563, 5200, 66830 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 1563, 5200, 66830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1563, 5200, 66830 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 1563, 5200, 66830 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 1563, 5200, 66830 is 1.
HCF(1563, 5200, 66830) = 1
HCF of 1563, 5200, 66830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1563, 5200, 66830 is 1.
Highest Common Factor of 1563,5200,66830 is 1
Step 1: Since 5200 > 1563, we apply the division lemma to 5200 and 1563, to get
5200 = 1563 x 3 + 511
Step 2: Since the reminder 1563 ≠ 0, we apply division lemma to 511 and 1563, to get
1563 = 511 x 3 + 30
Step 3: We consider the new divisor 511 and the new remainder 30, and apply the division lemma to get
511 = 30 x 17 + 1
We consider the new divisor 30 and the new remainder 1, and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1563 and 5200 is 1
Notice that 1 = HCF(30,1) = HCF(511,30) = HCF(1563,511) = HCF(5200,1563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66830 > 1, we apply the division lemma to 66830 and 1, to get
66830 = 1 x 66830 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66830 is 1
Notice that 1 = HCF(66830,1) .
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Frequently Asked Questions on HCF of 1563, 5200, 66830 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 1563, 5200, 66830?
Answer: HCF of 1563, 5200, 66830 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1563, 5200, 66830 using Euclid's Algorithm?
Answer: For arbitrary numbers 1563, 5200, 66830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.