Highest Common Factor of 5722, 1542 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 5722, 1542 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5722, 1542 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 5722, 1542 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 5722, 1542 is 2.
HCF(5722, 1542) = 2
HCF of 5722, 1542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5722, 1542 is 2.
Highest Common Factor of 5722,1542 is 2
Step 1: Since 5722 > 1542, we apply the division lemma to 5722 and 1542, to get
5722 = 1542 x 3 + 1096
Step 2: Since the reminder 1542 ≠ 0, we apply division lemma to 1096 and 1542, to get
1542 = 1096 x 1 + 446
Step 3: We consider the new divisor 1096 and the new remainder 446, and apply the division lemma to get
1096 = 446 x 2 + 204
We consider the new divisor 446 and the new remainder 204,and apply the division lemma to get
446 = 204 x 2 + 38
We consider the new divisor 204 and the new remainder 38,and apply the division lemma to get
204 = 38 x 5 + 14
We consider the new divisor 38 and the new remainder 14,and apply the division lemma to get
38 = 14 x 2 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 5722 and 1542 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(38,14) = HCF(204,38) = HCF(446,204) = HCF(1096,446) = HCF(1542,1096) = HCF(5722,1542) .
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Frequently Asked Questions on HCF of 5722, 1542 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 5722, 1542?
Answer: HCF of 5722, 1542 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5722, 1542 using Euclid's Algorithm?
Answer: For arbitrary numbers 5722, 1542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.