Highest Common Factor of 5336, 8592 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 5336, 8592 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5336, 8592 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 5336, 8592 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 5336, 8592 is 8.
HCF(5336, 8592) = 8
HCF of 5336, 8592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5336, 8592 is 8.
Highest Common Factor of 5336,8592 is 8
Step 1: Since 8592 > 5336, we apply the division lemma to 8592 and 5336, to get
8592 = 5336 x 1 + 3256
Step 2: Since the reminder 5336 ≠ 0, we apply division lemma to 3256 and 5336, to get
5336 = 3256 x 1 + 2080
Step 3: We consider the new divisor 3256 and the new remainder 2080, and apply the division lemma to get
3256 = 2080 x 1 + 1176
We consider the new divisor 2080 and the new remainder 1176,and apply the division lemma to get
2080 = 1176 x 1 + 904
We consider the new divisor 1176 and the new remainder 904,and apply the division lemma to get
1176 = 904 x 1 + 272
We consider the new divisor 904 and the new remainder 272,and apply the division lemma to get
904 = 272 x 3 + 88
We consider the new divisor 272 and the new remainder 88,and apply the division lemma to get
272 = 88 x 3 + 8
We consider the new divisor 88 and the new remainder 8,and apply the division lemma to get
88 = 8 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5336 and 8592 is 8
Notice that 8 = HCF(88,8) = HCF(272,88) = HCF(904,272) = HCF(1176,904) = HCF(2080,1176) = HCF(3256,2080) = HCF(5336,3256) = HCF(8592,5336) .
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Frequently Asked Questions on HCF of 5336, 8592 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 5336, 8592?
Answer: HCF of 5336, 8592 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5336, 8592 using Euclid's Algorithm?
Answer: For arbitrary numbers 5336, 8592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.