Highest Common Factor of 8006, 5296 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 8006, 5296 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8006, 5296 is 2 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 8006, 5296 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 8006, 5296 is 2.
HCF(8006, 5296) = 2
HCF of 8006, 5296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8006, 5296 is 2.
Highest Common Factor of 8006,5296 is 2
Step 1: Since 8006 > 5296, we apply the division lemma to 8006 and 5296, to get
8006 = 5296 x 1 + 2710
Step 2: Since the reminder 5296 ≠ 0, we apply division lemma to 2710 and 5296, to get
5296 = 2710 x 1 + 2586
Step 3: We consider the new divisor 2710 and the new remainder 2586, and apply the division lemma to get
2710 = 2586 x 1 + 124
We consider the new divisor 2586 and the new remainder 124,and apply the division lemma to get
2586 = 124 x 20 + 106
We consider the new divisor 124 and the new remainder 106,and apply the division lemma to get
124 = 106 x 1 + 18
We consider the new divisor 106 and the new remainder 18,and apply the division lemma to get
106 = 18 x 5 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8006 and 5296 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(106,18) = HCF(124,106) = HCF(2586,124) = HCF(2710,2586) = HCF(5296,2710) = HCF(8006,5296) .
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Frequently Asked Questions on HCF of 8006, 5296 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 8006, 5296?
Answer: HCF of 8006, 5296 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8006, 5296 using Euclid's Algorithm?
Answer: For arbitrary numbers 8006, 5296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.