Highest Common Factor of 4737, 5032, 52726 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 4737, 5032, 52726 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4737, 5032, 52726 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 4737, 5032, 52726 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 4737, 5032, 52726 is 1.
HCF(4737, 5032, 52726) = 1
HCF of 4737, 5032, 52726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4737, 5032, 52726 is 1.
Highest Common Factor of 4737,5032,52726 is 1
Step 1: Since 5032 > 4737, we apply the division lemma to 5032 and 4737, to get
5032 = 4737 x 1 + 295
Step 2: Since the reminder 4737 ≠ 0, we apply division lemma to 295 and 4737, to get
4737 = 295 x 16 + 17
Step 3: We consider the new divisor 295 and the new remainder 17, and apply the division lemma to get
295 = 17 x 17 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4737 and 5032 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(295,17) = HCF(4737,295) = HCF(5032,4737) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52726 > 1, we apply the division lemma to 52726 and 1, to get
52726 = 1 x 52726 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52726 is 1
Notice that 1 = HCF(52726,1) .
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Frequently Asked Questions on HCF of 4737, 5032, 52726 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 4737, 5032, 52726?
Answer: HCF of 4737, 5032, 52726 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4737, 5032, 52726 using Euclid's Algorithm?
Answer: For arbitrary numbers 4737, 5032, 52726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.