Highest Common Factor of 4304, 2008 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 4304, 2008 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4304, 2008 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 4304, 2008 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 4304, 2008 is 8.
HCF(4304, 2008) = 8
HCF of 4304, 2008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4304, 2008 is 8.
Highest Common Factor of 4304,2008 is 8
Step 1: Since 4304 > 2008, we apply the division lemma to 4304 and 2008, to get
4304 = 2008 x 2 + 288
Step 2: Since the reminder 2008 ≠ 0, we apply division lemma to 288 and 2008, to get
2008 = 288 x 6 + 280
Step 3: We consider the new divisor 288 and the new remainder 280, and apply the division lemma to get
288 = 280 x 1 + 8
We consider the new divisor 280 and the new remainder 8, and apply the division lemma to get
280 = 8 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4304 and 2008 is 8
Notice that 8 = HCF(280,8) = HCF(288,280) = HCF(2008,288) = HCF(4304,2008) .
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Frequently Asked Questions on HCF of 4304, 2008 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 4304, 2008?
Answer: HCF of 4304, 2008 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4304, 2008 using Euclid's Algorithm?
Answer: For arbitrary numbers 4304, 2008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.