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 2503, 9611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2503, 9611 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 2503, 9611 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 2503, 9611 is 1.
HCF(2503, 9611) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2503, 9611 is 1.
Step 1: Since 9611 > 2503, we apply the division lemma to 9611 and 2503, to get
9611 = 2503 x 3 + 2102
Step 2: Since the reminder 2503 ≠ 0, we apply division lemma to 2102 and 2503, to get
2503 = 2102 x 1 + 401
Step 3: We consider the new divisor 2102 and the new remainder 401, and apply the division lemma to get
2102 = 401 x 5 + 97
We consider the new divisor 401 and the new remainder 97,and apply the division lemma to get
401 = 97 x 4 + 13
We consider the new divisor 97 and the new remainder 13,and apply the division lemma to get
97 = 13 x 7 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2503 and 9611 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(97,13) = HCF(401,97) = HCF(2102,401) = HCF(2503,2102) = HCF(9611,2503) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2503, 9611?
Answer: HCF of 2503, 9611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2503, 9611 using Euclid's Algorithm?
Answer: For arbitrary numbers 2503, 9611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.