Highest Common Factor of 3870, 2043, 33299 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 3870, 2043, 33299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3870, 2043, 33299 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 3870, 2043, 33299 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 3870, 2043, 33299 is 1.
HCF(3870, 2043, 33299) = 1
HCF of 3870, 2043, 33299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3870, 2043, 33299 is 1.
Highest Common Factor of 3870,2043,33299 is 1
Step 1: Since 3870 > 2043, we apply the division lemma to 3870 and 2043, to get
3870 = 2043 x 1 + 1827
Step 2: Since the reminder 2043 ≠ 0, we apply division lemma to 1827 and 2043, to get
2043 = 1827 x 1 + 216
Step 3: We consider the new divisor 1827 and the new remainder 216, and apply the division lemma to get
1827 = 216 x 8 + 99
We consider the new divisor 216 and the new remainder 99,and apply the division lemma to get
216 = 99 x 2 + 18
We consider the new divisor 99 and the new remainder 18,and apply the division lemma to get
99 = 18 x 5 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3870 and 2043 is 9
Notice that 9 = HCF(18,9) = HCF(99,18) = HCF(216,99) = HCF(1827,216) = HCF(2043,1827) = HCF(3870,2043) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33299 > 9, we apply the division lemma to 33299 and 9, to get
33299 = 9 x 3699 + 8
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 8 and 9, to get
9 = 8 x 1 + 1
Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 33299 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(33299,9) .
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Frequently Asked Questions on HCF of 3870, 2043, 33299 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 3870, 2043, 33299?
Answer: HCF of 3870, 2043, 33299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3870, 2043, 33299 using Euclid's Algorithm?
Answer: For arbitrary numbers 3870, 2043, 33299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.