Highest Common Factor of 3801, 8852, 19727 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 3801, 8852, 19727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3801, 8852, 19727 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 3801, 8852, 19727 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 3801, 8852, 19727 is 1.
HCF(3801, 8852, 19727) = 1
HCF of 3801, 8852, 19727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3801, 8852, 19727 is 1.
Highest Common Factor of 3801,8852,19727 is 1
Step 1: Since 8852 > 3801, we apply the division lemma to 8852 and 3801, to get
8852 = 3801 x 2 + 1250
Step 2: Since the reminder 3801 ≠ 0, we apply division lemma to 1250 and 3801, to get
3801 = 1250 x 3 + 51
Step 3: We consider the new divisor 1250 and the new remainder 51, and apply the division lemma to get
1250 = 51 x 24 + 26
We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get
51 = 26 x 1 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3801 and 8852 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(1250,51) = HCF(3801,1250) = HCF(8852,3801) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 19727 > 1, we apply the division lemma to 19727 and 1, to get
19727 = 1 x 19727 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19727 is 1
Notice that 1 = HCF(19727,1) .
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Frequently Asked Questions on HCF of 3801, 8852, 19727 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 3801, 8852, 19727?
Answer: HCF of 3801, 8852, 19727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3801, 8852, 19727 using Euclid's Algorithm?
Answer: For arbitrary numbers 3801, 8852, 19727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.