Highest Common Factor of 5904, 2824 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 5904, 2824 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5904, 2824 is 8 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 5904, 2824 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 5904, 2824 is 8.
HCF(5904, 2824) = 8
HCF of 5904, 2824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5904, 2824 is 8.
Highest Common Factor of 5904,2824 is 8
Step 1: Since 5904 > 2824, we apply the division lemma to 5904 and 2824, to get
5904 = 2824 x 2 + 256
Step 2: Since the reminder 2824 ≠ 0, we apply division lemma to 256 and 2824, to get
2824 = 256 x 11 + 8
Step 3: We consider the new divisor 256 and the new remainder 8, and apply the division lemma to get
256 = 8 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5904 and 2824 is 8
Notice that 8 = HCF(256,8) = HCF(2824,256) = HCF(5904,2824) .
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Frequently Asked Questions on HCF of 5904, 2824 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 5904, 2824?
Answer: HCF of 5904, 2824 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5904, 2824 using Euclid's Algorithm?
Answer: For arbitrary numbers 5904, 2824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
