Highest Common Factor of 3762, 4183 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 3762, 4183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3762, 4183 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 3762, 4183 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 3762, 4183 is 1.
HCF(3762, 4183) = 1
HCF of 3762, 4183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3762, 4183 is 1.
Highest Common Factor of 3762,4183 is 1
Step 1: Since 4183 > 3762, we apply the division lemma to 4183 and 3762, to get
4183 = 3762 x 1 + 421
Step 2: Since the reminder 3762 ≠ 0, we apply division lemma to 421 and 3762, to get
3762 = 421 x 8 + 394
Step 3: We consider the new divisor 421 and the new remainder 394, and apply the division lemma to get
421 = 394 x 1 + 27
We consider the new divisor 394 and the new remainder 27,and apply the division lemma to get
394 = 27 x 14 + 16
We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get
27 = 16 x 1 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 3762 and 4183 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(394,27) = HCF(421,394) = HCF(3762,421) = HCF(4183,3762) .
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Frequently Asked Questions on HCF of 3762, 4183 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 3762, 4183?
Answer: HCF of 3762, 4183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3762, 4183 using Euclid's Algorithm?
Answer: For arbitrary numbers 3762, 4183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.