Highest Common Factor of 2590, 5655 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 2590, 5655 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2590, 5655 is 5 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 2590, 5655 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 2590, 5655 is 5.
HCF(2590, 5655) = 5
HCF of 2590, 5655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2590, 5655 is 5.
Highest Common Factor of 2590,5655 is 5
Step 1: Since 5655 > 2590, we apply the division lemma to 5655 and 2590, to get
5655 = 2590 x 2 + 475
Step 2: Since the reminder 2590 ≠ 0, we apply division lemma to 475 and 2590, to get
2590 = 475 x 5 + 215
Step 3: We consider the new divisor 475 and the new remainder 215, and apply the division lemma to get
475 = 215 x 2 + 45
We consider the new divisor 215 and the new remainder 45,and apply the division lemma to get
215 = 45 x 4 + 35
We consider the new divisor 45 and the new remainder 35,and apply the division lemma to get
45 = 35 x 1 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2590 and 5655 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(45,35) = HCF(215,45) = HCF(475,215) = HCF(2590,475) = HCF(5655,2590) .
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Frequently Asked Questions on HCF of 2590, 5655 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 2590, 5655?
Answer: HCF of 2590, 5655 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2590, 5655 using Euclid's Algorithm?
Answer: For arbitrary numbers 2590, 5655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.