Highest Common Factor of 3907, 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 3907, 7405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3907, 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 3907, 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 3907, 7405 is 1.
HCF(3907, 7405) = 1
HCF of 3907, 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 3907, 7405 is 1.
Highest Common Factor of 3907,7405 is 1
Step 1: Since 7405 > 3907, we apply the division lemma to 7405 and 3907, to get
7405 = 3907 x 1 + 3498
Step 2: Since the reminder 3907 ≠ 0, we apply division lemma to 3498 and 3907, to get
3907 = 3498 x 1 + 409
Step 3: We consider the new divisor 3498 and the new remainder 409, and apply the division lemma to get
3498 = 409 x 8 + 226
We consider the new divisor 409 and the new remainder 226,and apply the division lemma to get
409 = 226 x 1 + 183
We consider the new divisor 226 and the new remainder 183,and apply the division lemma to get
226 = 183 x 1 + 43
We consider the new divisor 183 and the new remainder 43,and apply the division lemma to get
183 = 43 x 4 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3907 and 7405 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(183,43) = HCF(226,183) = HCF(409,226) = HCF(3498,409) = HCF(3907,3498) = HCF(7405,3907) .
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Frequently Asked Questions on HCF of 3907, 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 3907, 7405?
Answer: HCF of 3907, 7405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3907, 7405 using Euclid's Algorithm?
Answer: For arbitrary numbers 3907, 7405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.