Highest Common Factor of 2755, 3728 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 2755, 3728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2755, 3728 is 1 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 2755, 3728 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 2755, 3728 is 1.
HCF(2755, 3728) = 1
HCF of 2755, 3728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2755, 3728 is 1.
Highest Common Factor of 2755,3728 is 1
Step 1: Since 3728 > 2755, we apply the division lemma to 3728 and 2755, to get
3728 = 2755 x 1 + 973
Step 2: Since the reminder 2755 ≠ 0, we apply division lemma to 973 and 2755, to get
2755 = 973 x 2 + 809
Step 3: We consider the new divisor 973 and the new remainder 809, and apply the division lemma to get
973 = 809 x 1 + 164
We consider the new divisor 809 and the new remainder 164,and apply the division lemma to get
809 = 164 x 4 + 153
We consider the new divisor 164 and the new remainder 153,and apply the division lemma to get
164 = 153 x 1 + 11
We consider the new divisor 153 and the new remainder 11,and apply the division lemma to get
153 = 11 x 13 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2755 and 3728 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(153,11) = HCF(164,153) = HCF(809,164) = HCF(973,809) = HCF(2755,973) = HCF(3728,2755) .
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Frequently Asked Questions on HCF of 2755, 3728 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 2755, 3728?
Answer: HCF of 2755, 3728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2755, 3728 using Euclid's Algorithm?
Answer: For arbitrary numbers 2755, 3728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.