Highest Common Factor of 2682, 950 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 2682, 950 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2682, 950 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 2682, 950 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 2682, 950 is 2.
HCF(2682, 950) = 2
HCF of 2682, 950 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2682, 950 is 2.
Highest Common Factor of 2682,950 is 2
Step 1: Since 2682 > 950, we apply the division lemma to 2682 and 950, to get
2682 = 950 x 2 + 782
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 782 and 950, to get
950 = 782 x 1 + 168
Step 3: We consider the new divisor 782 and the new remainder 168, and apply the division lemma to get
782 = 168 x 4 + 110
We consider the new divisor 168 and the new remainder 110,and apply the division lemma to get
168 = 110 x 1 + 58
We consider the new divisor 110 and the new remainder 58,and apply the division lemma to get
110 = 58 x 1 + 52
We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get
58 = 52 x 1 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 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 2682 and 950 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(110,58) = HCF(168,110) = HCF(782,168) = HCF(950,782) = HCF(2682,950) .
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Frequently Asked Questions on HCF of 2682, 950 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 2682, 950?
Answer: HCF of 2682, 950 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2682, 950 using Euclid's Algorithm?
Answer: For arbitrary numbers 2682, 950 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.