Highest Common Factor of 4033, 3753 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 4033, 3753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4033, 3753 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 4033, 3753 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 4033, 3753 is 1.
HCF(4033, 3753) = 1
HCF of 4033, 3753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4033, 3753 is 1.
Highest Common Factor of 4033,3753 is 1
Step 1: Since 4033 > 3753, we apply the division lemma to 4033 and 3753, to get
4033 = 3753 x 1 + 280
Step 2: Since the reminder 3753 ≠ 0, we apply division lemma to 280 and 3753, to get
3753 = 280 x 13 + 113
Step 3: We consider the new divisor 280 and the new remainder 113, and apply the division lemma to get
280 = 113 x 2 + 54
We consider the new divisor 113 and the new remainder 54,and apply the division lemma to get
113 = 54 x 2 + 5
We consider the new divisor 54 and the new remainder 5,and apply the division lemma to get
54 = 5 x 10 + 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 4033 and 3753 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(113,54) = HCF(280,113) = HCF(3753,280) = HCF(4033,3753) .
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Frequently Asked Questions on HCF of 4033, 3753 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 4033, 3753?
Answer: HCF of 4033, 3753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4033, 3753 using Euclid's Algorithm?
Answer: For arbitrary numbers 4033, 3753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
