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 7001, 9399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7001, 9399 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 7001, 9399 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 7001, 9399 is 1.
HCF(7001, 9399) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7001, 9399 is 1.
Step 1: Since 9399 > 7001, we apply the division lemma to 9399 and 7001, to get
9399 = 7001 x 1 + 2398
Step 2: Since the reminder 7001 ≠ 0, we apply division lemma to 2398 and 7001, to get
7001 = 2398 x 2 + 2205
Step 3: We consider the new divisor 2398 and the new remainder 2205, and apply the division lemma to get
2398 = 2205 x 1 + 193
We consider the new divisor 2205 and the new remainder 193,and apply the division lemma to get
2205 = 193 x 11 + 82
We consider the new divisor 193 and the new remainder 82,and apply the division lemma to get
193 = 82 x 2 + 29
We consider the new divisor 82 and the new remainder 29,and apply the division lemma to get
82 = 29 x 2 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7001 and 9399 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(82,29) = HCF(193,82) = HCF(2205,193) = HCF(2398,2205) = HCF(7001,2398) = HCF(9399,7001) .
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 7001, 9399?
Answer: HCF of 7001, 9399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7001, 9399 using Euclid's Algorithm?
Answer: For arbitrary numbers 7001, 9399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.