Highest Common Factor of 3066, 6208, 62280 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 3066, 6208, 62280 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3066, 6208, 62280 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 3066, 6208, 62280 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 3066, 6208, 62280 is 2.
HCF(3066, 6208, 62280) = 2
HCF of 3066, 6208, 62280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3066, 6208, 62280 is 2.
Highest Common Factor of 3066,6208,62280 is 2
Step 1: Since 6208 > 3066, we apply the division lemma to 6208 and 3066, to get
6208 = 3066 x 2 + 76
Step 2: Since the reminder 3066 ≠ 0, we apply division lemma to 76 and 3066, to get
3066 = 76 x 40 + 26
Step 3: We consider the new divisor 76 and the new remainder 26, and apply the division lemma to get
76 = 26 x 2 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3066 and 6208 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(76,26) = HCF(3066,76) = HCF(6208,3066) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62280 > 2, we apply the division lemma to 62280 and 2, to get
62280 = 2 x 31140 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 62280 is 2
Notice that 2 = HCF(62280,2) .
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Frequently Asked Questions on HCF of 3066, 6208, 62280 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 3066, 6208, 62280?
Answer: HCF of 3066, 6208, 62280 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3066, 6208, 62280 using Euclid's Algorithm?
Answer: For arbitrary numbers 3066, 6208, 62280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.