Highest Common Factor of 3816, 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 3816, 6054 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 3816, 6054 is 6 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 3816, 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 3816, 6054 is 6.
HCF(3816, 6054) = 6
HCF of 3816, 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 3816, 6054 is 6.
Highest Common Factor of 3816,6054 is 6
Step 1: Since 6054 > 3816, we apply the division lemma to 6054 and 3816, to get
6054 = 3816 x 1 + 2238
Step 2: Since the reminder 3816 ≠ 0, we apply division lemma to 2238 and 3816, to get
3816 = 2238 x 1 + 1578
Step 3: We consider the new divisor 2238 and the new remainder 1578, and apply the division lemma to get
2238 = 1578 x 1 + 660
We consider the new divisor 1578 and the new remainder 660,and apply the division lemma to get
1578 = 660 x 2 + 258
We consider the new divisor 660 and the new remainder 258,and apply the division lemma to get
660 = 258 x 2 + 144
We consider the new divisor 258 and the new remainder 144,and apply the division lemma to get
258 = 144 x 1 + 114
We consider the new divisor 144 and the new remainder 114,and apply the division lemma to get
144 = 114 x 1 + 30
We consider the new divisor 114 and the new remainder 30,and apply the division lemma to get
114 = 30 x 3 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3816 and 6054 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(114,30) = HCF(144,114) = HCF(258,144) = HCF(660,258) = HCF(1578,660) = HCF(2238,1578) = HCF(3816,2238) = HCF(6054,3816) .
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Frequently Asked Questions on HCF of 3816, 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 3816, 6054?
Answer: HCF of 3816, 6054 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3816, 6054 using Euclid's Algorithm?
Answer: For arbitrary numbers 3816, 6054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.