Highest Common Factor of 2755, 6864 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, 6864 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2755, 6864 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, 6864 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, 6864 is 1.
HCF(2755, 6864) = 1
HCF of 2755, 6864 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, 6864 is 1.
Highest Common Factor of 2755,6864 is 1
Step 1: Since 6864 > 2755, we apply the division lemma to 6864 and 2755, to get
6864 = 2755 x 2 + 1354
Step 2: Since the reminder 2755 ≠ 0, we apply division lemma to 1354 and 2755, to get
2755 = 1354 x 2 + 47
Step 3: We consider the new divisor 1354 and the new remainder 47, and apply the division lemma to get
1354 = 47 x 28 + 38
We consider the new divisor 47 and the new remainder 38,and apply the division lemma to get
47 = 38 x 1 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 2755 and 6864 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(47,38) = HCF(1354,47) = HCF(2755,1354) = HCF(6864,2755) .
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Frequently Asked Questions on HCF of 2755, 6864 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, 6864?
Answer: HCF of 2755, 6864 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2755, 6864 using Euclid's Algorithm?
Answer: For arbitrary numbers 2755, 6864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.