Highest Common Factor of 3462, 7405 using Euclid's algorithm
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 3462, 7405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3462, 7405 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 3462, 7405 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 3462, 7405 is 1.
HCF(3462, 7405) = 1
HCF of 3462, 7405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3462, 7405 is 1.
Highest Common Factor of 3462,7405 is 1
Step 1: Since 7405 > 3462, we apply the division lemma to 7405 and 3462, to get
7405 = 3462 x 2 + 481
Step 2: Since the reminder 3462 ≠ 0, we apply division lemma to 481 and 3462, to get
3462 = 481 x 7 + 95
Step 3: We consider the new divisor 481 and the new remainder 95, and apply the division lemma to get
481 = 95 x 5 + 6
We consider the new divisor 95 and the new remainder 6,and apply the division lemma to get
95 = 6 x 15 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3462 and 7405 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(95,6) = HCF(481,95) = HCF(3462,481) = HCF(7405,3462) .
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Frequently Asked Questions on HCF of 3462, 7405 using Euclid's Algorithm
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 3462, 7405?
Answer: HCF of 3462, 7405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3462, 7405 using Euclid's Algorithm?
Answer: For arbitrary numbers 3462, 7405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.