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 9404, 3489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9404, 3489 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 9404, 3489 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 9404, 3489 is 1.
HCF(9404, 3489) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9404, 3489 is 1.
Step 1: Since 9404 > 3489, we apply the division lemma to 9404 and 3489, to get
9404 = 3489 x 2 + 2426
Step 2: Since the reminder 3489 ≠ 0, we apply division lemma to 2426 and 3489, to get
3489 = 2426 x 1 + 1063
Step 3: We consider the new divisor 2426 and the new remainder 1063, and apply the division lemma to get
2426 = 1063 x 2 + 300
We consider the new divisor 1063 and the new remainder 300,and apply the division lemma to get
1063 = 300 x 3 + 163
We consider the new divisor 300 and the new remainder 163,and apply the division lemma to get
300 = 163 x 1 + 137
We consider the new divisor 163 and the new remainder 137,and apply the division lemma to get
163 = 137 x 1 + 26
We consider the new divisor 137 and the new remainder 26,and apply the division lemma to get
137 = 26 x 5 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 9404 and 3489 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(137,26) = HCF(163,137) = HCF(300,163) = HCF(1063,300) = HCF(2426,1063) = HCF(3489,2426) = HCF(9404,3489) .
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 9404, 3489?
Answer: HCF of 9404, 3489 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9404, 3489 using Euclid's Algorithm?
Answer: For arbitrary numbers 9404, 3489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.