Highest Common Factor of 3288, 1855 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 3288, 1855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3288, 1855 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 3288, 1855 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 3288, 1855 is 1.
HCF(3288, 1855) = 1
HCF of 3288, 1855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3288, 1855 is 1.
Highest Common Factor of 3288,1855 is 1
Step 1: Since 3288 > 1855, we apply the division lemma to 3288 and 1855, to get
3288 = 1855 x 1 + 1433
Step 2: Since the reminder 1855 ≠ 0, we apply division lemma to 1433 and 1855, to get
1855 = 1433 x 1 + 422
Step 3: We consider the new divisor 1433 and the new remainder 422, and apply the division lemma to get
1433 = 422 x 3 + 167
We consider the new divisor 422 and the new remainder 167,and apply the division lemma to get
422 = 167 x 2 + 88
We consider the new divisor 167 and the new remainder 88,and apply the division lemma to get
167 = 88 x 1 + 79
We consider the new divisor 88 and the new remainder 79,and apply the division lemma to get
88 = 79 x 1 + 9
We consider the new divisor 79 and the new remainder 9,and apply the division lemma to get
79 = 9 x 8 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3288 and 1855 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(79,9) = HCF(88,79) = HCF(167,88) = HCF(422,167) = HCF(1433,422) = HCF(1855,1433) = HCF(3288,1855) .
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Frequently Asked Questions on HCF of 3288, 1855 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 3288, 1855?
Answer: HCF of 3288, 1855 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3288, 1855 using Euclid's Algorithm?
Answer: For arbitrary numbers 3288, 1855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.