Highest Common Factor of 5686, 9912 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 5686, 9912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5686, 9912 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 5686, 9912 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 5686, 9912 is 2.
HCF(5686, 9912) = 2
HCF of 5686, 9912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5686, 9912 is 2.
Highest Common Factor of 5686,9912 is 2
Step 1: Since 9912 > 5686, we apply the division lemma to 9912 and 5686, to get
9912 = 5686 x 1 + 4226
Step 2: Since the reminder 5686 ≠ 0, we apply division lemma to 4226 and 5686, to get
5686 = 4226 x 1 + 1460
Step 3: We consider the new divisor 4226 and the new remainder 1460, and apply the division lemma to get
4226 = 1460 x 2 + 1306
We consider the new divisor 1460 and the new remainder 1306,and apply the division lemma to get
1460 = 1306 x 1 + 154
We consider the new divisor 1306 and the new remainder 154,and apply the division lemma to get
1306 = 154 x 8 + 74
We consider the new divisor 154 and the new remainder 74,and apply the division lemma to get
154 = 74 x 2 + 6
We consider the new divisor 74 and the new remainder 6,and apply the division lemma to get
74 = 6 x 12 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5686 and 9912 is 2
Notice that 2 = HCF(6,2) = HCF(74,6) = HCF(154,74) = HCF(1306,154) = HCF(1460,1306) = HCF(4226,1460) = HCF(5686,4226) = HCF(9912,5686) .
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Frequently Asked Questions on HCF of 5686, 9912 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 5686, 9912?
Answer: HCF of 5686, 9912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5686, 9912 using Euclid's Algorithm?
Answer: For arbitrary numbers 5686, 9912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.