Highest Common Factor of 244, 14586 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 244, 14586 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 244, 14586 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 244, 14586 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 244, 14586 is 2.
HCF(244, 14586) = 2
HCF of 244, 14586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 244, 14586 is 2.
Highest Common Factor of 244,14586 is 2
Step 1: Since 14586 > 244, we apply the division lemma to 14586 and 244, to get
14586 = 244 x 59 + 190
Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 190 and 244, to get
244 = 190 x 1 + 54
Step 3: We consider the new divisor 190 and the new remainder 54, and apply the division lemma to get
190 = 54 x 3 + 28
We consider the new divisor 54 and the new remainder 28,and apply the division lemma to get
54 = 28 x 1 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 244 and 14586 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(54,28) = HCF(190,54) = HCF(244,190) = HCF(14586,244) .
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Frequently Asked Questions on HCF of 244, 14586 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 244, 14586?
Answer: HCF of 244, 14586 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 244, 14586 using Euclid's Algorithm?
Answer: For arbitrary numbers 244, 14586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
