Highest Common Factor of 6546, 566 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 6546, 566 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6546, 566 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 6546, 566 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 6546, 566 is 2.
HCF(6546, 566) = 2
HCF of 6546, 566 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6546, 566 is 2.
Highest Common Factor of 6546,566 is 2
Step 1: Since 6546 > 566, we apply the division lemma to 6546 and 566, to get
6546 = 566 x 11 + 320
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 320 and 566, to get
566 = 320 x 1 + 246
Step 3: We consider the new divisor 320 and the new remainder 246, and apply the division lemma to get
320 = 246 x 1 + 74
We consider the new divisor 246 and the new remainder 74,and apply the division lemma to get
246 = 74 x 3 + 24
We consider the new divisor 74 and the new remainder 24,and apply the division lemma to get
74 = 24 x 3 + 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 6546 and 566 is 2
Notice that 2 = HCF(24,2) = HCF(74,24) = HCF(246,74) = HCF(320,246) = HCF(566,320) = HCF(6546,566) .
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Frequently Asked Questions on HCF of 6546, 566 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 6546, 566?
Answer: HCF of 6546, 566 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6546, 566 using Euclid's Algorithm?
Answer: For arbitrary numbers 6546, 566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.