Highest Common Factor of 6008, 5232 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 6008, 5232 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 6008, 5232 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 6008, 5232 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 6008, 5232 is 8.
HCF(6008, 5232) = 8
HCF of 6008, 5232 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6008, 5232 is 8.
Highest Common Factor of 6008,5232 is 8
Step 1: Since 6008 > 5232, we apply the division lemma to 6008 and 5232, to get
6008 = 5232 x 1 + 776
Step 2: Since the reminder 5232 ≠ 0, we apply division lemma to 776 and 5232, to get
5232 = 776 x 6 + 576
Step 3: We consider the new divisor 776 and the new remainder 576, and apply the division lemma to get
776 = 576 x 1 + 200
We consider the new divisor 576 and the new remainder 200,and apply the division lemma to get
576 = 200 x 2 + 176
We consider the new divisor 200 and the new remainder 176,and apply the division lemma to get
200 = 176 x 1 + 24
We consider the new divisor 176 and the new remainder 24,and apply the division lemma to get
176 = 24 x 7 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 6008 and 5232 is 8
Notice that 8 = HCF(24,8) = HCF(176,24) = HCF(200,176) = HCF(576,200) = HCF(776,576) = HCF(5232,776) = HCF(6008,5232) .
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Frequently Asked Questions on HCF of 6008, 5232 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 6008, 5232?
Answer: HCF of 6008, 5232 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6008, 5232 using Euclid's Algorithm?
Answer: For arbitrary numbers 6008, 5232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.