Highest Common Factor of 3838, 8220, 89454 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 3838, 8220, 89454 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3838, 8220, 89454 is 2 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 3838, 8220, 89454 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 3838, 8220, 89454 is 2.
HCF(3838, 8220, 89454) = 2
HCF of 3838, 8220, 89454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3838, 8220, 89454 is 2.
Highest Common Factor of 3838,8220,89454 is 2
Step 1: Since 8220 > 3838, we apply the division lemma to 8220 and 3838, to get
8220 = 3838 x 2 + 544
Step 2: Since the reminder 3838 ≠ 0, we apply division lemma to 544 and 3838, to get
3838 = 544 x 7 + 30
Step 3: We consider the new divisor 544 and the new remainder 30, and apply the division lemma to get
544 = 30 x 18 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3838 and 8220 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(544,30) = HCF(3838,544) = HCF(8220,3838) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89454 > 2, we apply the division lemma to 89454 and 2, to get
89454 = 2 x 44727 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 89454 is 2
Notice that 2 = HCF(89454,2) .
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Frequently Asked Questions on HCF of 3838, 8220, 89454 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 3838, 8220, 89454?
Answer: HCF of 3838, 8220, 89454 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3838, 8220, 89454 using Euclid's Algorithm?
Answer: For arbitrary numbers 3838, 8220, 89454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.