Highest Common Factor of 3764, 7347 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 3764, 7347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3764, 7347 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 3764, 7347 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 3764, 7347 is 1.
HCF(3764, 7347) = 1
HCF of 3764, 7347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3764, 7347 is 1.
Highest Common Factor of 3764,7347 is 1
Step 1: Since 7347 > 3764, we apply the division lemma to 7347 and 3764, to get
7347 = 3764 x 1 + 3583
Step 2: Since the reminder 3764 ≠ 0, we apply division lemma to 3583 and 3764, to get
3764 = 3583 x 1 + 181
Step 3: We consider the new divisor 3583 and the new remainder 181, and apply the division lemma to get
3583 = 181 x 19 + 144
We consider the new divisor 181 and the new remainder 144,and apply the division lemma to get
181 = 144 x 1 + 37
We consider the new divisor 144 and the new remainder 37,and apply the division lemma to get
144 = 37 x 3 + 33
We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get
37 = 33 x 1 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 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 3764 and 7347 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(144,37) = HCF(181,144) = HCF(3583,181) = HCF(3764,3583) = HCF(7347,3764) .
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Frequently Asked Questions on HCF of 3764, 7347 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 3764, 7347?
Answer: HCF of 3764, 7347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3764, 7347 using Euclid's Algorithm?
Answer: For arbitrary numbers 3764, 7347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.