Highest Common Factor of 2555, 5458 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 2555, 5458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2555, 5458 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 2555, 5458 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 2555, 5458 is 1.
HCF(2555, 5458) = 1
HCF of 2555, 5458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2555, 5458 is 1.
Highest Common Factor of 2555,5458 is 1
Step 1: Since 5458 > 2555, we apply the division lemma to 5458 and 2555, to get
5458 = 2555 x 2 + 348
Step 2: Since the reminder 2555 ≠ 0, we apply division lemma to 348 and 2555, to get
2555 = 348 x 7 + 119
Step 3: We consider the new divisor 348 and the new remainder 119, and apply the division lemma to get
348 = 119 x 2 + 110
We consider the new divisor 119 and the new remainder 110,and apply the division lemma to get
119 = 110 x 1 + 9
We consider the new divisor 110 and the new remainder 9,and apply the division lemma to get
110 = 9 x 12 + 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 2555 and 5458 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(110,9) = HCF(119,110) = HCF(348,119) = HCF(2555,348) = HCF(5458,2555) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2555, 5458 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 2555, 5458?
Answer: HCF of 2555, 5458 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2555, 5458 using Euclid's Algorithm?
Answer: For arbitrary numbers 2555, 5458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.