Highest Common Factor of 5822, 4410 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 5822, 4410 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5822, 4410 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 5822, 4410 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 5822, 4410 is 2.
HCF(5822, 4410) = 2
HCF of 5822, 4410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5822, 4410 is 2.
Highest Common Factor of 5822,4410 is 2
Step 1: Since 5822 > 4410, we apply the division lemma to 5822 and 4410, to get
5822 = 4410 x 1 + 1412
Step 2: Since the reminder 4410 ≠ 0, we apply division lemma to 1412 and 4410, to get
4410 = 1412 x 3 + 174
Step 3: We consider the new divisor 1412 and the new remainder 174, and apply the division lemma to get
1412 = 174 x 8 + 20
We consider the new divisor 174 and the new remainder 20,and apply the division lemma to get
174 = 20 x 8 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 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 5822 and 4410 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(174,20) = HCF(1412,174) = HCF(4410,1412) = HCF(5822,4410) .
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Frequently Asked Questions on HCF of 5822, 4410 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 5822, 4410?
Answer: HCF of 5822, 4410 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5822, 4410 using Euclid's Algorithm?
Answer: For arbitrary numbers 5822, 4410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.