Highest Common Factor of 1233, 5581, 15837 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 1233, 5581, 15837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1233, 5581, 15837 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 1233, 5581, 15837 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 1233, 5581, 15837 is 1.
HCF(1233, 5581, 15837) = 1
HCF of 1233, 5581, 15837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1233, 5581, 15837 is 1.
Highest Common Factor of 1233,5581,15837 is 1
Step 1: Since 5581 > 1233, we apply the division lemma to 5581 and 1233, to get
5581 = 1233 x 4 + 649
Step 2: Since the reminder 1233 ≠ 0, we apply division lemma to 649 and 1233, to get
1233 = 649 x 1 + 584
Step 3: We consider the new divisor 649 and the new remainder 584, and apply the division lemma to get
649 = 584 x 1 + 65
We consider the new divisor 584 and the new remainder 65,and apply the division lemma to get
584 = 65 x 8 + 64
We consider the new divisor 65 and the new remainder 64,and apply the division lemma to get
65 = 64 x 1 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1233 and 5581 is 1
Notice that 1 = HCF(64,1) = HCF(65,64) = HCF(584,65) = HCF(649,584) = HCF(1233,649) = HCF(5581,1233) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15837 > 1, we apply the division lemma to 15837 and 1, to get
15837 = 1 x 15837 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15837 is 1
Notice that 1 = HCF(15837,1) .
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Frequently Asked Questions on HCF of 1233, 5581, 15837 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 1233, 5581, 15837?
Answer: HCF of 1233, 5581, 15837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1233, 5581, 15837 using Euclid's Algorithm?
Answer: For arbitrary numbers 1233, 5581, 15837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.