Highest Common Factor of 2260, 3635 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 2260, 3635 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2260, 3635 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 2260, 3635 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 2260, 3635 is 5.
HCF(2260, 3635) = 5
HCF of 2260, 3635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2260, 3635 is 5.
Highest Common Factor of 2260,3635 is 5
Step 1: Since 3635 > 2260, we apply the division lemma to 3635 and 2260, to get
3635 = 2260 x 1 + 1375
Step 2: Since the reminder 2260 ≠ 0, we apply division lemma to 1375 and 2260, to get
2260 = 1375 x 1 + 885
Step 3: We consider the new divisor 1375 and the new remainder 885, and apply the division lemma to get
1375 = 885 x 1 + 490
We consider the new divisor 885 and the new remainder 490,and apply the division lemma to get
885 = 490 x 1 + 395
We consider the new divisor 490 and the new remainder 395,and apply the division lemma to get
490 = 395 x 1 + 95
We consider the new divisor 395 and the new remainder 95,and apply the division lemma to get
395 = 95 x 4 + 15
We consider the new divisor 95 and the new remainder 15,and apply the division lemma to get
95 = 15 x 6 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2260 and 3635 is 5
Notice that 5 = HCF(15,5) = HCF(95,15) = HCF(395,95) = HCF(490,395) = HCF(885,490) = HCF(1375,885) = HCF(2260,1375) = HCF(3635,2260) .
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Frequently Asked Questions on HCF of 2260, 3635 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 2260, 3635?
Answer: HCF of 2260, 3635 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2260, 3635 using Euclid's Algorithm?
Answer: For arbitrary numbers 2260, 3635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
