Highest Common Factor of 6002, 8066 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 6002, 8066 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6002, 8066 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 6002, 8066 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 6002, 8066 is 2.
HCF(6002, 8066) = 2
HCF of 6002, 8066 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6002, 8066 is 2.
Highest Common Factor of 6002,8066 is 2
Step 1: Since 8066 > 6002, we apply the division lemma to 8066 and 6002, to get
8066 = 6002 x 1 + 2064
Step 2: Since the reminder 6002 ≠ 0, we apply division lemma to 2064 and 6002, to get
6002 = 2064 x 2 + 1874
Step 3: We consider the new divisor 2064 and the new remainder 1874, and apply the division lemma to get
2064 = 1874 x 1 + 190
We consider the new divisor 1874 and the new remainder 190,and apply the division lemma to get
1874 = 190 x 9 + 164
We consider the new divisor 190 and the new remainder 164,and apply the division lemma to get
190 = 164 x 1 + 26
We consider the new divisor 164 and the new remainder 26,and apply the division lemma to get
164 = 26 x 6 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6002 and 8066 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(164,26) = HCF(190,164) = HCF(1874,190) = HCF(2064,1874) = HCF(6002,2064) = HCF(8066,6002) .
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Frequently Asked Questions on HCF of 6002, 8066 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 6002, 8066?
Answer: HCF of 6002, 8066 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6002, 8066 using Euclid's Algorithm?
Answer: For arbitrary numbers 6002, 8066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.