Highest Common Factor of 6447, 9220, 66564 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 6447, 9220, 66564 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6447, 9220, 66564 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 6447, 9220, 66564 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 6447, 9220, 66564 is 1.
HCF(6447, 9220, 66564) = 1
HCF of 6447, 9220, 66564 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6447, 9220, 66564 is 1.
Highest Common Factor of 6447,9220,66564 is 1
Step 1: Since 9220 > 6447, we apply the division lemma to 9220 and 6447, to get
9220 = 6447 x 1 + 2773
Step 2: Since the reminder 6447 ≠ 0, we apply division lemma to 2773 and 6447, to get
6447 = 2773 x 2 + 901
Step 3: We consider the new divisor 2773 and the new remainder 901, and apply the division lemma to get
2773 = 901 x 3 + 70
We consider the new divisor 901 and the new remainder 70,and apply the division lemma to get
901 = 70 x 12 + 61
We consider the new divisor 70 and the new remainder 61,and apply the division lemma to get
70 = 61 x 1 + 9
We consider the new divisor 61 and the new remainder 9,and apply the division lemma to get
61 = 9 x 6 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6447 and 9220 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(61,9) = HCF(70,61) = HCF(901,70) = HCF(2773,901) = HCF(6447,2773) = HCF(9220,6447) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66564 > 1, we apply the division lemma to 66564 and 1, to get
66564 = 1 x 66564 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66564 is 1
Notice that 1 = HCF(66564,1) .
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Frequently Asked Questions on HCF of 6447, 9220, 66564 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 6447, 9220, 66564?
Answer: HCF of 6447, 9220, 66564 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6447, 9220, 66564 using Euclid's Algorithm?
Answer: For arbitrary numbers 6447, 9220, 66564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.