Highest Common Factor of 3226, 2775 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 3226, 2775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3226, 2775 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 3226, 2775 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 3226, 2775 is 1.
HCF(3226, 2775) = 1
HCF of 3226, 2775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3226, 2775 is 1.
Highest Common Factor of 3226,2775 is 1
Step 1: Since 3226 > 2775, we apply the division lemma to 3226 and 2775, to get
3226 = 2775 x 1 + 451
Step 2: Since the reminder 2775 ≠ 0, we apply division lemma to 451 and 2775, to get
2775 = 451 x 6 + 69
Step 3: We consider the new divisor 451 and the new remainder 69, and apply the division lemma to get
451 = 69 x 6 + 37
We consider the new divisor 69 and the new remainder 37,and apply the division lemma to get
69 = 37 x 1 + 32
We consider the new divisor 37 and the new remainder 32,and apply the division lemma to get
37 = 32 x 1 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3226 and 2775 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(69,37) = HCF(451,69) = HCF(2775,451) = HCF(3226,2775) .
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Frequently Asked Questions on HCF of 3226, 2775 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 3226, 2775?
Answer: HCF of 3226, 2775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3226, 2775 using Euclid's Algorithm?
Answer: For arbitrary numbers 3226, 2775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.