Highest Common Factor of 4662, 1184, 11662 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 4662, 1184, 11662 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4662, 1184, 11662 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 4662, 1184, 11662 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 4662, 1184, 11662 is 2.
HCF(4662, 1184, 11662) = 2
HCF of 4662, 1184, 11662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4662, 1184, 11662 is 2.
Highest Common Factor of 4662,1184,11662 is 2
Step 1: Since 4662 > 1184, we apply the division lemma to 4662 and 1184, to get
4662 = 1184 x 3 + 1110
Step 2: Since the reminder 1184 ≠ 0, we apply division lemma to 1110 and 1184, to get
1184 = 1110 x 1 + 74
Step 3: We consider the new divisor 1110 and the new remainder 74, and apply the division lemma to get
1110 = 74 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 4662 and 1184 is 74
Notice that 74 = HCF(1110,74) = HCF(1184,1110) = HCF(4662,1184) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11662 > 74, we apply the division lemma to 11662 and 74, to get
11662 = 74 x 157 + 44
Step 2: Since the reminder 74 ≠ 0, we apply division lemma to 44 and 74, to get
74 = 44 x 1 + 30
Step 3: We consider the new divisor 44 and the new remainder 30, and apply the division lemma to get
44 = 30 x 1 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 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 74 and 11662 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(44,30) = HCF(74,44) = HCF(11662,74) .
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Frequently Asked Questions on HCF of 4662, 1184, 11662 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 4662, 1184, 11662?
Answer: HCF of 4662, 1184, 11662 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4662, 1184, 11662 using Euclid's Algorithm?
Answer: For arbitrary numbers 4662, 1184, 11662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
