Highest Common Factor of 912, 2589 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 912, 2589 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 2589 is 3 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 912, 2589 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 912, 2589 is 3.
HCF(912, 2589) = 3
HCF of 912, 2589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 2589 is 3.
Highest Common Factor of 912,2589 is 3
Step 1: Since 2589 > 912, we apply the division lemma to 2589 and 912, to get
2589 = 912 x 2 + 765
Step 2: Since the reminder 912 ≠ 0, we apply division lemma to 765 and 912, to get
912 = 765 x 1 + 147
Step 3: We consider the new divisor 765 and the new remainder 147, and apply the division lemma to get
765 = 147 x 5 + 30
We consider the new divisor 147 and the new remainder 30,and apply the division lemma to get
147 = 30 x 4 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 912 and 2589 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(147,30) = HCF(765,147) = HCF(912,765) = HCF(2589,912) .
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Frequently Asked Questions on HCF of 912, 2589 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 912, 2589?
Answer: HCF of 912, 2589 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 2589 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 2589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.