Highest Common Factor of 4090, 2769 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 4090, 2769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4090, 2769 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 4090, 2769 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 4090, 2769 is 1.
HCF(4090, 2769) = 1
HCF of 4090, 2769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4090, 2769 is 1.
Highest Common Factor of 4090,2769 is 1
Step 1: Since 4090 > 2769, we apply the division lemma to 4090 and 2769, to get
4090 = 2769 x 1 + 1321
Step 2: Since the reminder 2769 ≠ 0, we apply division lemma to 1321 and 2769, to get
2769 = 1321 x 2 + 127
Step 3: We consider the new divisor 1321 and the new remainder 127, and apply the division lemma to get
1321 = 127 x 10 + 51
We consider the new divisor 127 and the new remainder 51,and apply the division lemma to get
127 = 51 x 2 + 25
We consider the new divisor 51 and the new remainder 25,and apply the division lemma to get
51 = 25 x 2 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4090 and 2769 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(127,51) = HCF(1321,127) = HCF(2769,1321) = HCF(4090,2769) .
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Frequently Asked Questions on HCF of 4090, 2769 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 4090, 2769?
Answer: HCF of 4090, 2769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4090, 2769 using Euclid's Algorithm?
Answer: For arbitrary numbers 4090, 2769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
