Highest Common Factor of 2626, 4755 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 2626, 4755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2626, 4755 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 2626, 4755 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 2626, 4755 is 1.
HCF(2626, 4755) = 1
HCF of 2626, 4755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2626, 4755 is 1.
Highest Common Factor of 2626,4755 is 1
Step 1: Since 4755 > 2626, we apply the division lemma to 4755 and 2626, to get
4755 = 2626 x 1 + 2129
Step 2: Since the reminder 2626 ≠ 0, we apply division lemma to 2129 and 2626, to get
2626 = 2129 x 1 + 497
Step 3: We consider the new divisor 2129 and the new remainder 497, and apply the division lemma to get
2129 = 497 x 4 + 141
We consider the new divisor 497 and the new remainder 141,and apply the division lemma to get
497 = 141 x 3 + 74
We consider the new divisor 141 and the new remainder 74,and apply the division lemma to get
141 = 74 x 1 + 67
We consider the new divisor 74 and the new remainder 67,and apply the division lemma to get
74 = 67 x 1 + 7
We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get
67 = 7 x 9 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2626 and 4755 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(74,67) = HCF(141,74) = HCF(497,141) = HCF(2129,497) = HCF(2626,2129) = HCF(4755,2626) .
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Frequently Asked Questions on HCF of 2626, 4755 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 2626, 4755?
Answer: HCF of 2626, 4755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2626, 4755 using Euclid's Algorithm?
Answer: For arbitrary numbers 2626, 4755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.