Highest Common Factor of 3763, 7410 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 3763, 7410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3763, 7410 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 3763, 7410 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 3763, 7410 is 1.
HCF(3763, 7410) = 1
HCF of 3763, 7410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3763, 7410 is 1.
Highest Common Factor of 3763,7410 is 1
Step 1: Since 7410 > 3763, we apply the division lemma to 7410 and 3763, to get
7410 = 3763 x 1 + 3647
Step 2: Since the reminder 3763 ≠ 0, we apply division lemma to 3647 and 3763, to get
3763 = 3647 x 1 + 116
Step 3: We consider the new divisor 3647 and the new remainder 116, and apply the division lemma to get
3647 = 116 x 31 + 51
We consider the new divisor 116 and the new remainder 51,and apply the division lemma to get
116 = 51 x 2 + 14
We consider the new divisor 51 and the new remainder 14,and apply the division lemma to get
51 = 14 x 3 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 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 3763 and 7410 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(51,14) = HCF(116,51) = HCF(3647,116) = HCF(3763,3647) = HCF(7410,3763) .
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Frequently Asked Questions on HCF of 3763, 7410 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 3763, 7410?
Answer: HCF of 3763, 7410 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3763, 7410 using Euclid's Algorithm?
Answer: For arbitrary numbers 3763, 7410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
