Highest Common Factor of 8647, 2229, 80389 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 8647, 2229, 80389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8647, 2229, 80389 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 8647, 2229, 80389 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 8647, 2229, 80389 is 1.
HCF(8647, 2229, 80389) = 1
HCF of 8647, 2229, 80389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8647, 2229, 80389 is 1.
Highest Common Factor of 8647,2229,80389 is 1
Step 1: Since 8647 > 2229, we apply the division lemma to 8647 and 2229, to get
8647 = 2229 x 3 + 1960
Step 2: Since the reminder 2229 ≠ 0, we apply division lemma to 1960 and 2229, to get
2229 = 1960 x 1 + 269
Step 3: We consider the new divisor 1960 and the new remainder 269, and apply the division lemma to get
1960 = 269 x 7 + 77
We consider the new divisor 269 and the new remainder 77,and apply the division lemma to get
269 = 77 x 3 + 38
We consider the new divisor 77 and the new remainder 38,and apply the division lemma to get
77 = 38 x 2 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8647 and 2229 is 1
Notice that 1 = HCF(38,1) = HCF(77,38) = HCF(269,77) = HCF(1960,269) = HCF(2229,1960) = HCF(8647,2229) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80389 > 1, we apply the division lemma to 80389 and 1, to get
80389 = 1 x 80389 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80389 is 1
Notice that 1 = HCF(80389,1) .
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Frequently Asked Questions on HCF of 8647, 2229, 80389 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 8647, 2229, 80389?
Answer: HCF of 8647, 2229, 80389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8647, 2229, 80389 using Euclid's Algorithm?
Answer: For arbitrary numbers 8647, 2229, 80389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.