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, 9969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2503, 9969 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, 9969 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, 9969 is 1.
HCF(2503, 9969) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2503, 9969 is 1.
Step 1: Since 9969 > 2503, we apply the division lemma to 9969 and 2503, to get
9969 = 2503 x 3 + 2460
Step 2: Since the reminder 2503 ≠ 0, we apply division lemma to 2460 and 2503, to get
2503 = 2460 x 1 + 43
Step 3: We consider the new divisor 2460 and the new remainder 43, and apply the division lemma to get
2460 = 43 x 57 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 2503 and 9969 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(2460,43) = HCF(2503,2460) = HCF(9969,2503) .
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, 9969?
Answer: HCF of 2503, 9969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2503, 9969 using Euclid's Algorithm?
Answer: For arbitrary numbers 2503, 9969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.