Highest Common Factor of 3797, 8033, 19742 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 3797, 8033, 19742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3797, 8033, 19742 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 3797, 8033, 19742 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 3797, 8033, 19742 is 1.
HCF(3797, 8033, 19742) = 1
HCF of 3797, 8033, 19742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3797, 8033, 19742 is 1.
Highest Common Factor of 3797,8033,19742 is 1
Step 1: Since 8033 > 3797, we apply the division lemma to 8033 and 3797, to get
8033 = 3797 x 2 + 439
Step 2: Since the reminder 3797 ≠ 0, we apply division lemma to 439 and 3797, to get
3797 = 439 x 8 + 285
Step 3: We consider the new divisor 439 and the new remainder 285, and apply the division lemma to get
439 = 285 x 1 + 154
We consider the new divisor 285 and the new remainder 154,and apply the division lemma to get
285 = 154 x 1 + 131
We consider the new divisor 154 and the new remainder 131,and apply the division lemma to get
154 = 131 x 1 + 23
We consider the new divisor 131 and the new remainder 23,and apply the division lemma to get
131 = 23 x 5 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3797 and 8033 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(131,23) = HCF(154,131) = HCF(285,154) = HCF(439,285) = HCF(3797,439) = HCF(8033,3797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 19742 > 1, we apply the division lemma to 19742 and 1, to get
19742 = 1 x 19742 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19742 is 1
Notice that 1 = HCF(19742,1) .
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Frequently Asked Questions on HCF of 3797, 8033, 19742 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 3797, 8033, 19742?
Answer: HCF of 3797, 8033, 19742 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3797, 8033, 19742 using Euclid's Algorithm?
Answer: For arbitrary numbers 3797, 8033, 19742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.