Highest Common Factor of 2150, 486 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 2150, 486 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2150, 486 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 2150, 486 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 2150, 486 is 2.
HCF(2150, 486) = 2
HCF of 2150, 486 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2150, 486 is 2.
Highest Common Factor of 2150,486 is 2
Step 1: Since 2150 > 486, we apply the division lemma to 2150 and 486, to get
2150 = 486 x 4 + 206
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 206 and 486, to get
486 = 206 x 2 + 74
Step 3: We consider the new divisor 206 and the new remainder 74, and apply the division lemma to get
206 = 74 x 2 + 58
We consider the new divisor 74 and the new remainder 58,and apply the division lemma to get
74 = 58 x 1 + 16
We consider the new divisor 58 and the new remainder 16,and apply the division lemma to get
58 = 16 x 3 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2150 and 486 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(74,58) = HCF(206,74) = HCF(486,206) = HCF(2150,486) .
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Frequently Asked Questions on HCF of 2150, 486 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 2150, 486?
Answer: HCF of 2150, 486 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2150, 486 using Euclid's Algorithm?
Answer: For arbitrary numbers 2150, 486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.