Highest Common Factor of 2908, 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 2908, 6054 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2908, 6054 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 2908, 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 2908, 6054 is 2.
HCF(2908, 6054) = 2
HCF of 2908, 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 2908, 6054 is 2.
Highest Common Factor of 2908,6054 is 2
Step 1: Since 6054 > 2908, we apply the division lemma to 6054 and 2908, to get
6054 = 2908 x 2 + 238
Step 2: Since the reminder 2908 ≠ 0, we apply division lemma to 238 and 2908, to get
2908 = 238 x 12 + 52
Step 3: We consider the new divisor 238 and the new remainder 52, and apply the division lemma to get
238 = 52 x 4 + 30
We consider the new divisor 52 and the new remainder 30,and apply the division lemma to get
52 = 30 x 1 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2908 and 6054 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(52,30) = HCF(238,52) = HCF(2908,238) = HCF(6054,2908) .
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Frequently Asked Questions on HCF of 2908, 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 2908, 6054?
Answer: HCF of 2908, 6054 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2908, 6054 using Euclid's Algorithm?
Answer: For arbitrary numbers 2908, 6054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.