Highest Common Factor of 9588, 5054, 12596 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 9588, 5054, 12596 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9588, 5054, 12596 is 2 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 9588, 5054, 12596 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 9588, 5054, 12596 is 2.
HCF(9588, 5054, 12596) = 2
HCF of 9588, 5054, 12596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9588, 5054, 12596 is 2.
Highest Common Factor of 9588,5054,12596 is 2
Step 1: Since 9588 > 5054, we apply the division lemma to 9588 and 5054, to get
9588 = 5054 x 1 + 4534
Step 2: Since the reminder 5054 ≠ 0, we apply division lemma to 4534 and 5054, to get
5054 = 4534 x 1 + 520
Step 3: We consider the new divisor 4534 and the new remainder 520, and apply the division lemma to get
4534 = 520 x 8 + 374
We consider the new divisor 520 and the new remainder 374,and apply the division lemma to get
520 = 374 x 1 + 146
We consider the new divisor 374 and the new remainder 146,and apply the division lemma to get
374 = 146 x 2 + 82
We consider the new divisor 146 and the new remainder 82,and apply the division lemma to get
146 = 82 x 1 + 64
We consider the new divisor 82 and the new remainder 64,and apply the division lemma to get
82 = 64 x 1 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9588 and 5054 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(82,64) = HCF(146,82) = HCF(374,146) = HCF(520,374) = HCF(4534,520) = HCF(5054,4534) = HCF(9588,5054) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12596 > 2, we apply the division lemma to 12596 and 2, to get
12596 = 2 x 6298 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 12596 is 2
Notice that 2 = HCF(12596,2) .
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Frequently Asked Questions on HCF of 9588, 5054, 12596 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 9588, 5054, 12596?
Answer: HCF of 9588, 5054, 12596 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9588, 5054, 12596 using Euclid's Algorithm?
Answer: For arbitrary numbers 9588, 5054, 12596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.