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 9503, 3399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9503, 3399 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 9503, 3399 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 9503, 3399 is 1.
HCF(9503, 3399) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9503, 3399 is 1.
Step 1: Since 9503 > 3399, we apply the division lemma to 9503 and 3399, to get
9503 = 3399 x 2 + 2705
Step 2: Since the reminder 3399 ≠ 0, we apply division lemma to 2705 and 3399, to get
3399 = 2705 x 1 + 694
Step 3: We consider the new divisor 2705 and the new remainder 694, and apply the division lemma to get
2705 = 694 x 3 + 623
We consider the new divisor 694 and the new remainder 623,and apply the division lemma to get
694 = 623 x 1 + 71
We consider the new divisor 623 and the new remainder 71,and apply the division lemma to get
623 = 71 x 8 + 55
We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get
71 = 55 x 1 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 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 9503 and 3399 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(623,71) = HCF(694,623) = HCF(2705,694) = HCF(3399,2705) = HCF(9503,3399) .
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 9503, 3399?
Answer: HCF of 9503, 3399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9503, 3399 using Euclid's Algorithm?
Answer: For arbitrary numbers 9503, 3399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.