Highest Common Factor of 2764, 2184 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 2764, 2184 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2764, 2184 is 4 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 2764, 2184 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 2764, 2184 is 4.
HCF(2764, 2184) = 4
HCF of 2764, 2184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2764, 2184 is 4.
Highest Common Factor of 2764,2184 is 4
Step 1: Since 2764 > 2184, we apply the division lemma to 2764 and 2184, to get
2764 = 2184 x 1 + 580
Step 2: Since the reminder 2184 ≠ 0, we apply division lemma to 580 and 2184, to get
2184 = 580 x 3 + 444
Step 3: We consider the new divisor 580 and the new remainder 444, and apply the division lemma to get
580 = 444 x 1 + 136
We consider the new divisor 444 and the new remainder 136,and apply the division lemma to get
444 = 136 x 3 + 36
We consider the new divisor 136 and the new remainder 36,and apply the division lemma to get
136 = 36 x 3 + 28
We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get
36 = 28 x 1 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2764 and 2184 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(136,36) = HCF(444,136) = HCF(580,444) = HCF(2184,580) = HCF(2764,2184) .
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Frequently Asked Questions on HCF of 2764, 2184 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 2764, 2184?
Answer: HCF of 2764, 2184 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2764, 2184 using Euclid's Algorithm?
Answer: For arbitrary numbers 2764, 2184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.