Highest Common Factor of 4199, 6054 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 4199, 6054 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4199, 6054 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 4199, 6054 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 4199, 6054 is 1.
HCF(4199, 6054) = 1
HCF of 4199, 6054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4199, 6054 is 1.
Highest Common Factor of 4199,6054 is 1
Step 1: Since 6054 > 4199, we apply the division lemma to 6054 and 4199, to get
6054 = 4199 x 1 + 1855
Step 2: Since the reminder 4199 ≠ 0, we apply division lemma to 1855 and 4199, to get
4199 = 1855 x 2 + 489
Step 3: We consider the new divisor 1855 and the new remainder 489, and apply the division lemma to get
1855 = 489 x 3 + 388
We consider the new divisor 489 and the new remainder 388,and apply the division lemma to get
489 = 388 x 1 + 101
We consider the new divisor 388 and the new remainder 101,and apply the division lemma to get
388 = 101 x 3 + 85
We consider the new divisor 101 and the new remainder 85,and apply the division lemma to get
101 = 85 x 1 + 16
We consider the new divisor 85 and the new remainder 16,and apply the division lemma to get
85 = 16 x 5 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4199 and 6054 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(85,16) = HCF(101,85) = HCF(388,101) = HCF(489,388) = HCF(1855,489) = HCF(4199,1855) = HCF(6054,4199) .
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Frequently Asked Questions on HCF of 4199, 6054 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 4199, 6054?
Answer: HCF of 4199, 6054 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4199, 6054 using Euclid's Algorithm?
Answer: For arbitrary numbers 4199, 6054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
