Highest Common Factor of 9566, 9007, 22912 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 9566, 9007, 22912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9566, 9007, 22912 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 9566, 9007, 22912 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 9566, 9007, 22912 is 1.
HCF(9566, 9007, 22912) = 1
HCF of 9566, 9007, 22912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9566, 9007, 22912 is 1.
Highest Common Factor of 9566,9007,22912 is 1
Step 1: Since 9566 > 9007, we apply the division lemma to 9566 and 9007, to get
9566 = 9007 x 1 + 559
Step 2: Since the reminder 9007 ≠ 0, we apply division lemma to 559 and 9007, to get
9007 = 559 x 16 + 63
Step 3: We consider the new divisor 559 and the new remainder 63, and apply the division lemma to get
559 = 63 x 8 + 55
We consider the new divisor 63 and the new remainder 55,and apply the division lemma to get
63 = 55 x 1 + 8
We consider the new divisor 55 and the new remainder 8,and apply the division lemma to get
55 = 8 x 6 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9566 and 9007 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(55,8) = HCF(63,55) = HCF(559,63) = HCF(9007,559) = HCF(9566,9007) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22912 > 1, we apply the division lemma to 22912 and 1, to get
22912 = 1 x 22912 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22912 is 1
Notice that 1 = HCF(22912,1) .
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Frequently Asked Questions on HCF of 9566, 9007, 22912 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 9566, 9007, 22912?
Answer: HCF of 9566, 9007, 22912 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9566, 9007, 22912 using Euclid's Algorithm?
Answer: For arbitrary numbers 9566, 9007, 22912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.