Highest Common Factor of 5722, 1515 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, 1515 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5722, 1515 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 5722, 1515 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, 1515 is 1.
HCF(5722, 1515) = 1
HCF of 5722, 1515 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, 1515 is 1.
Highest Common Factor of 5722,1515 is 1
Step 1: Since 5722 > 1515, we apply the division lemma to 5722 and 1515, to get
5722 = 1515 x 3 + 1177
Step 2: Since the reminder 1515 ≠ 0, we apply division lemma to 1177 and 1515, to get
1515 = 1177 x 1 + 338
Step 3: We consider the new divisor 1177 and the new remainder 338, and apply the division lemma to get
1177 = 338 x 3 + 163
We consider the new divisor 338 and the new remainder 163,and apply the division lemma to get
338 = 163 x 2 + 12
We consider the new divisor 163 and the new remainder 12,and apply the division lemma to get
163 = 12 x 13 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5722 and 1515 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(163,12) = HCF(338,163) = HCF(1177,338) = HCF(1515,1177) = HCF(5722,1515) .
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Frequently Asked Questions on HCF of 5722, 1515 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, 1515?
Answer: HCF of 5722, 1515 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5722, 1515 using Euclid's Algorithm?
Answer: For arbitrary numbers 5722, 1515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.