Highest Common Factor of 5361, 8256, 14329 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 5361, 8256, 14329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5361, 8256, 14329 is 1 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 5361, 8256, 14329 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 5361, 8256, 14329 is 1.
HCF(5361, 8256, 14329) = 1
HCF of 5361, 8256, 14329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5361, 8256, 14329 is 1.
Highest Common Factor of 5361,8256,14329 is 1
Step 1: Since 8256 > 5361, we apply the division lemma to 8256 and 5361, to get
8256 = 5361 x 1 + 2895
Step 2: Since the reminder 5361 ≠ 0, we apply division lemma to 2895 and 5361, to get
5361 = 2895 x 1 + 2466
Step 3: We consider the new divisor 2895 and the new remainder 2466, and apply the division lemma to get
2895 = 2466 x 1 + 429
We consider the new divisor 2466 and the new remainder 429,and apply the division lemma to get
2466 = 429 x 5 + 321
We consider the new divisor 429 and the new remainder 321,and apply the division lemma to get
429 = 321 x 1 + 108
We consider the new divisor 321 and the new remainder 108,and apply the division lemma to get
321 = 108 x 2 + 105
We consider the new divisor 108 and the new remainder 105,and apply the division lemma to get
108 = 105 x 1 + 3
We consider the new divisor 105 and the new remainder 3,and apply the division lemma to get
105 = 3 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5361 and 8256 is 3
Notice that 3 = HCF(105,3) = HCF(108,105) = HCF(321,108) = HCF(429,321) = HCF(2466,429) = HCF(2895,2466) = HCF(5361,2895) = HCF(8256,5361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14329 > 3, we apply the division lemma to 14329 and 3, to get
14329 = 3 x 4776 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 14329 is 1
Notice that 1 = HCF(3,1) = HCF(14329,3) .
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Frequently Asked Questions on HCF of 5361, 8256, 14329 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 5361, 8256, 14329?
Answer: HCF of 5361, 8256, 14329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5361, 8256, 14329 using Euclid's Algorithm?
Answer: For arbitrary numbers 5361, 8256, 14329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.