Highest Common Factor of 4866, 6651 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 4866, 6651 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4866, 6651 is 3 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 4866, 6651 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 4866, 6651 is 3.
HCF(4866, 6651) = 3
HCF of 4866, 6651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4866, 6651 is 3.
Highest Common Factor of 4866,6651 is 3
Step 1: Since 6651 > 4866, we apply the division lemma to 6651 and 4866, to get
6651 = 4866 x 1 + 1785
Step 2: Since the reminder 4866 ≠ 0, we apply division lemma to 1785 and 4866, to get
4866 = 1785 x 2 + 1296
Step 3: We consider the new divisor 1785 and the new remainder 1296, and apply the division lemma to get
1785 = 1296 x 1 + 489
We consider the new divisor 1296 and the new remainder 489,and apply the division lemma to get
1296 = 489 x 2 + 318
We consider the new divisor 489 and the new remainder 318,and apply the division lemma to get
489 = 318 x 1 + 171
We consider the new divisor 318 and the new remainder 171,and apply the division lemma to get
318 = 171 x 1 + 147
We consider the new divisor 171 and the new remainder 147,and apply the division lemma to get
171 = 147 x 1 + 24
We consider the new divisor 147 and the new remainder 24,and apply the division lemma to get
147 = 24 x 6 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4866 and 6651 is 3
Notice that 3 = HCF(24,3) = HCF(147,24) = HCF(171,147) = HCF(318,171) = HCF(489,318) = HCF(1296,489) = HCF(1785,1296) = HCF(4866,1785) = HCF(6651,4866) .
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Frequently Asked Questions on HCF of 4866, 6651 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 4866, 6651?
Answer: HCF of 4866, 6651 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4866, 6651 using Euclid's Algorithm?
Answer: For arbitrary numbers 4866, 6651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.