Highest Common Factor of 2803, 1505 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 2803, 1505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2803, 1505 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 2803, 1505 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 2803, 1505 is 1.
HCF(2803, 1505) = 1
HCF of 2803, 1505 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2803, 1505 is 1.
Highest Common Factor of 2803,1505 is 1
Step 1: Since 2803 > 1505, we apply the division lemma to 2803 and 1505, to get
2803 = 1505 x 1 + 1298
Step 2: Since the reminder 1505 ≠ 0, we apply division lemma to 1298 and 1505, to get
1505 = 1298 x 1 + 207
Step 3: We consider the new divisor 1298 and the new remainder 207, and apply the division lemma to get
1298 = 207 x 6 + 56
We consider the new divisor 207 and the new remainder 56,and apply the division lemma to get
207 = 56 x 3 + 39
We consider the new divisor 56 and the new remainder 39,and apply the division lemma to get
56 = 39 x 1 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2803 and 1505 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(56,39) = HCF(207,56) = HCF(1298,207) = HCF(1505,1298) = HCF(2803,1505) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2803, 1505 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 2803, 1505?
Answer: HCF of 2803, 1505 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2803, 1505 using Euclid's Algorithm?
Answer: For arbitrary numbers 2803, 1505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.