Highest Common Factor of 6666, 4834 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 6666, 4834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6666, 4834 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 6666, 4834 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 6666, 4834 is 2.
HCF(6666, 4834) = 2
HCF of 6666, 4834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6666, 4834 is 2.
Highest Common Factor of 6666,4834 is 2
Step 1: Since 6666 > 4834, we apply the division lemma to 6666 and 4834, to get
6666 = 4834 x 1 + 1832
Step 2: Since the reminder 4834 ≠ 0, we apply division lemma to 1832 and 4834, to get
4834 = 1832 x 2 + 1170
Step 3: We consider the new divisor 1832 and the new remainder 1170, and apply the division lemma to get
1832 = 1170 x 1 + 662
We consider the new divisor 1170 and the new remainder 662,and apply the division lemma to get
1170 = 662 x 1 + 508
We consider the new divisor 662 and the new remainder 508,and apply the division lemma to get
662 = 508 x 1 + 154
We consider the new divisor 508 and the new remainder 154,and apply the division lemma to get
508 = 154 x 3 + 46
We consider the new divisor 154 and the new remainder 46,and apply the division lemma to get
154 = 46 x 3 + 16
We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get
46 = 16 x 2 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6666 and 4834 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(154,46) = HCF(508,154) = HCF(662,508) = HCF(1170,662) = HCF(1832,1170) = HCF(4834,1832) = HCF(6666,4834) .
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Frequently Asked Questions on HCF of 6666, 4834 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 6666, 4834?
Answer: HCF of 6666, 4834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6666, 4834 using Euclid's Algorithm?
Answer: For arbitrary numbers 6666, 4834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.