Highest Common Factor of 8822, 9372, 88524 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 8822, 9372, 88524 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8822, 9372, 88524 is 2 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 8822, 9372, 88524 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 8822, 9372, 88524 is 2.
HCF(8822, 9372, 88524) = 2
HCF of 8822, 9372, 88524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8822, 9372, 88524 is 2.
Highest Common Factor of 8822,9372,88524 is 2
Step 1: Since 9372 > 8822, we apply the division lemma to 9372 and 8822, to get
9372 = 8822 x 1 + 550
Step 2: Since the reminder 8822 ≠ 0, we apply division lemma to 550 and 8822, to get
8822 = 550 x 16 + 22
Step 3: We consider the new divisor 550 and the new remainder 22, and apply the division lemma to get
550 = 22 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 8822 and 9372 is 22
Notice that 22 = HCF(550,22) = HCF(8822,550) = HCF(9372,8822) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88524 > 22, we apply the division lemma to 88524 and 22, to get
88524 = 22 x 4023 + 18
Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 18 and 22, to get
22 = 18 x 1 + 4
Step 3: We consider the new divisor 18 and the new remainder 4, and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 22 and 88524 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(88524,22) .
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Frequently Asked Questions on HCF of 8822, 9372, 88524 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 8822, 9372, 88524?
Answer: HCF of 8822, 9372, 88524 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8822, 9372, 88524 using Euclid's Algorithm?
Answer: For arbitrary numbers 8822, 9372, 88524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.