Highest Common Factor of 4951, 8296, 23405 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 4951, 8296, 23405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4951, 8296, 23405 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 4951, 8296, 23405 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 4951, 8296, 23405 is 1.
HCF(4951, 8296, 23405) = 1
HCF of 4951, 8296, 23405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4951, 8296, 23405 is 1.
Highest Common Factor of 4951,8296,23405 is 1
Step 1: Since 8296 > 4951, we apply the division lemma to 8296 and 4951, to get
8296 = 4951 x 1 + 3345
Step 2: Since the reminder 4951 ≠ 0, we apply division lemma to 3345 and 4951, to get
4951 = 3345 x 1 + 1606
Step 3: We consider the new divisor 3345 and the new remainder 1606, and apply the division lemma to get
3345 = 1606 x 2 + 133
We consider the new divisor 1606 and the new remainder 133,and apply the division lemma to get
1606 = 133 x 12 + 10
We consider the new divisor 133 and the new remainder 10,and apply the division lemma to get
133 = 10 x 13 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4951 and 8296 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(133,10) = HCF(1606,133) = HCF(3345,1606) = HCF(4951,3345) = HCF(8296,4951) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23405 > 1, we apply the division lemma to 23405 and 1, to get
23405 = 1 x 23405 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23405 is 1
Notice that 1 = HCF(23405,1) .
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Frequently Asked Questions on HCF of 4951, 8296, 23405 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 4951, 8296, 23405?
Answer: HCF of 4951, 8296, 23405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4951, 8296, 23405 using Euclid's Algorithm?
Answer: For arbitrary numbers 4951, 8296, 23405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
