Highest Common Factor of 9401, 4705, 52583 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 9401, 4705, 52583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9401, 4705, 52583 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 9401, 4705, 52583 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 9401, 4705, 52583 is 1.
HCF(9401, 4705, 52583) = 1
HCF of 9401, 4705, 52583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9401, 4705, 52583 is 1.
Highest Common Factor of 9401,4705,52583 is 1
Step 1: Since 9401 > 4705, we apply the division lemma to 9401 and 4705, to get
9401 = 4705 x 1 + 4696
Step 2: Since the reminder 4705 ≠ 0, we apply division lemma to 4696 and 4705, to get
4705 = 4696 x 1 + 9
Step 3: We consider the new divisor 4696 and the new remainder 9, and apply the division lemma to get
4696 = 9 x 521 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 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 9401 and 4705 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(4696,9) = HCF(4705,4696) = HCF(9401,4705) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52583 > 1, we apply the division lemma to 52583 and 1, to get
52583 = 1 x 52583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52583 is 1
Notice that 1 = HCF(52583,1) .
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Frequently Asked Questions on HCF of 9401, 4705, 52583 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 9401, 4705, 52583?
Answer: HCF of 9401, 4705, 52583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9401, 4705, 52583 using Euclid's Algorithm?
Answer: For arbitrary numbers 9401, 4705, 52583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.