Highest Common Factor of 8822, 5722 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, 5722 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8822, 5722 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, 5722 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, 5722 is 2.
HCF(8822, 5722) = 2
HCF of 8822, 5722 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, 5722 is 2.
Highest Common Factor of 8822,5722 is 2
Step 1: Since 8822 > 5722, we apply the division lemma to 8822 and 5722, to get
8822 = 5722 x 1 + 3100
Step 2: Since the reminder 5722 ≠ 0, we apply division lemma to 3100 and 5722, to get
5722 = 3100 x 1 + 2622
Step 3: We consider the new divisor 3100 and the new remainder 2622, and apply the division lemma to get
3100 = 2622 x 1 + 478
We consider the new divisor 2622 and the new remainder 478,and apply the division lemma to get
2622 = 478 x 5 + 232
We consider the new divisor 478 and the new remainder 232,and apply the division lemma to get
478 = 232 x 2 + 14
We consider the new divisor 232 and the new remainder 14,and apply the division lemma to get
232 = 14 x 16 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8822 and 5722 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(232,14) = HCF(478,232) = HCF(2622,478) = HCF(3100,2622) = HCF(5722,3100) = HCF(8822,5722) .
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Frequently Asked Questions on HCF of 8822, 5722 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, 5722?
Answer: HCF of 8822, 5722 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8822, 5722 using Euclid's Algorithm?
Answer: For arbitrary numbers 8822, 5722 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.