Highest Common Factor of 2053, 3812 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 2053, 3812 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2053, 3812 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 2053, 3812 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 2053, 3812 is 1.
HCF(2053, 3812) = 1
HCF of 2053, 3812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2053, 3812 is 1.
Highest Common Factor of 2053,3812 is 1
Step 1: Since 3812 > 2053, we apply the division lemma to 3812 and 2053, to get
3812 = 2053 x 1 + 1759
Step 2: Since the reminder 2053 ≠ 0, we apply division lemma to 1759 and 2053, to get
2053 = 1759 x 1 + 294
Step 3: We consider the new divisor 1759 and the new remainder 294, and apply the division lemma to get
1759 = 294 x 5 + 289
We consider the new divisor 294 and the new remainder 289,and apply the division lemma to get
294 = 289 x 1 + 5
We consider the new divisor 289 and the new remainder 5,and apply the division lemma to get
289 = 5 x 57 + 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 2053 and 3812 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(289,5) = HCF(294,289) = HCF(1759,294) = HCF(2053,1759) = HCF(3812,2053) .
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Frequently Asked Questions on HCF of 2053, 3812 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 2053, 3812?
Answer: HCF of 2053, 3812 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2053, 3812 using Euclid's Algorithm?
Answer: For arbitrary numbers 2053, 3812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.