Highest Common Factor of 647, 20300 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 647, 20300 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 647, 20300 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 647, 20300 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 647, 20300 is 1.
HCF(647, 20300) = 1
HCF of 647, 20300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 647, 20300 is 1.
Highest Common Factor of 647,20300 is 1
Step 1: Since 20300 > 647, we apply the division lemma to 20300 and 647, to get
20300 = 647 x 31 + 243
Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 243 and 647, to get
647 = 243 x 2 + 161
Step 3: We consider the new divisor 243 and the new remainder 161, and apply the division lemma to get
243 = 161 x 1 + 82
We consider the new divisor 161 and the new remainder 82,and apply the division lemma to get
161 = 82 x 1 + 79
We consider the new divisor 82 and the new remainder 79,and apply the division lemma to get
82 = 79 x 1 + 3
We consider the new divisor 79 and the new remainder 3,and apply the division lemma to get
79 = 3 x 26 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 647 and 20300 is 1
Notice that 1 = HCF(3,1) = HCF(79,3) = HCF(82,79) = HCF(161,82) = HCF(243,161) = HCF(647,243) = HCF(20300,647) .
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Frequently Asked Questions on HCF of 647, 20300 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 647, 20300?
Answer: HCF of 647, 20300 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 647, 20300 using Euclid's Algorithm?
Answer: For arbitrary numbers 647, 20300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.