Highest Common Factor of 5501, 2825 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 5501, 2825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5501, 2825 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 5501, 2825 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 5501, 2825 is 1.
HCF(5501, 2825) = 1
HCF of 5501, 2825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5501, 2825 is 1.
Highest Common Factor of 5501,2825 is 1
Step 1: Since 5501 > 2825, we apply the division lemma to 5501 and 2825, to get
5501 = 2825 x 1 + 2676
Step 2: Since the reminder 2825 ≠ 0, we apply division lemma to 2676 and 2825, to get
2825 = 2676 x 1 + 149
Step 3: We consider the new divisor 2676 and the new remainder 149, and apply the division lemma to get
2676 = 149 x 17 + 143
We consider the new divisor 149 and the new remainder 143,and apply the division lemma to get
149 = 143 x 1 + 6
We consider the new divisor 143 and the new remainder 6,and apply the division lemma to get
143 = 6 x 23 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5501 and 2825 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(143,6) = HCF(149,143) = HCF(2676,149) = HCF(2825,2676) = HCF(5501,2825) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5501, 2825 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 5501, 2825?
Answer: HCF of 5501, 2825 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5501, 2825 using Euclid's Algorithm?
Answer: For arbitrary numbers 5501, 2825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.