Highest Common Factor of 5763, 2531, 56736 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 5763, 2531, 56736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5763, 2531, 56736 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 5763, 2531, 56736 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 5763, 2531, 56736 is 1.
HCF(5763, 2531, 56736) = 1
HCF of 5763, 2531, 56736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5763, 2531, 56736 is 1.
Highest Common Factor of 5763,2531,56736 is 1
Step 1: Since 5763 > 2531, we apply the division lemma to 5763 and 2531, to get
5763 = 2531 x 2 + 701
Step 2: Since the reminder 2531 ≠ 0, we apply division lemma to 701 and 2531, to get
2531 = 701 x 3 + 428
Step 3: We consider the new divisor 701 and the new remainder 428, and apply the division lemma to get
701 = 428 x 1 + 273
We consider the new divisor 428 and the new remainder 273,and apply the division lemma to get
428 = 273 x 1 + 155
We consider the new divisor 273 and the new remainder 155,and apply the division lemma to get
273 = 155 x 1 + 118
We consider the new divisor 155 and the new remainder 118,and apply the division lemma to get
155 = 118 x 1 + 37
We consider the new divisor 118 and the new remainder 37,and apply the division lemma to get
118 = 37 x 3 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5763 and 2531 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(118,37) = HCF(155,118) = HCF(273,155) = HCF(428,273) = HCF(701,428) = HCF(2531,701) = HCF(5763,2531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56736 > 1, we apply the division lemma to 56736 and 1, to get
56736 = 1 x 56736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56736 is 1
Notice that 1 = HCF(56736,1) .
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Frequently Asked Questions on HCF of 5763, 2531, 56736 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 5763, 2531, 56736?
Answer: HCF of 5763, 2531, 56736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5763, 2531, 56736 using Euclid's Algorithm?
Answer: For arbitrary numbers 5763, 2531, 56736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
