Highest Common Factor of 2905, 8962 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 2905, 8962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2905, 8962 is 1 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 2905, 8962 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 2905, 8962 is 1.
HCF(2905, 8962) = 1
HCF of 2905, 8962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2905, 8962 is 1.
Highest Common Factor of 2905,8962 is 1
Step 1: Since 8962 > 2905, we apply the division lemma to 8962 and 2905, to get
8962 = 2905 x 3 + 247
Step 2: Since the reminder 2905 ≠ 0, we apply division lemma to 247 and 2905, to get
2905 = 247 x 11 + 188
Step 3: We consider the new divisor 247 and the new remainder 188, and apply the division lemma to get
247 = 188 x 1 + 59
We consider the new divisor 188 and the new remainder 59,and apply the division lemma to get
188 = 59 x 3 + 11
We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get
59 = 11 x 5 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2905 and 8962 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(188,59) = HCF(247,188) = HCF(2905,247) = HCF(8962,2905) .
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Frequently Asked Questions on HCF of 2905, 8962 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 2905, 8962?
Answer: HCF of 2905, 8962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2905, 8962 using Euclid's Algorithm?
Answer: For arbitrary numbers 2905, 8962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
