Highest Common Factor of 6066, 2852 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 6066, 2852 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6066, 2852 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 6066, 2852 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 6066, 2852 is 2.
HCF(6066, 2852) = 2
HCF of 6066, 2852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6066, 2852 is 2.
Highest Common Factor of 6066,2852 is 2
Step 1: Since 6066 > 2852, we apply the division lemma to 6066 and 2852, to get
6066 = 2852 x 2 + 362
Step 2: Since the reminder 2852 ≠ 0, we apply division lemma to 362 and 2852, to get
2852 = 362 x 7 + 318
Step 3: We consider the new divisor 362 and the new remainder 318, and apply the division lemma to get
362 = 318 x 1 + 44
We consider the new divisor 318 and the new remainder 44,and apply the division lemma to get
318 = 44 x 7 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6066 and 2852 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(318,44) = HCF(362,318) = HCF(2852,362) = HCF(6066,2852) .
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Frequently Asked Questions on HCF of 6066, 2852 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 6066, 2852?
Answer: HCF of 6066, 2852 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6066, 2852 using Euclid's Algorithm?
Answer: For arbitrary numbers 6066, 2852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.