Highest Common Factor of 1015, 1635 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 1015, 1635 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1015, 1635 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 1015, 1635 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 1015, 1635 is 5.
HCF(1015, 1635) = 5
HCF of 1015, 1635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1015, 1635 is 5.
Highest Common Factor of 1015,1635 is 5
Step 1: Since 1635 > 1015, we apply the division lemma to 1635 and 1015, to get
1635 = 1015 x 1 + 620
Step 2: Since the reminder 1015 ≠ 0, we apply division lemma to 620 and 1015, to get
1015 = 620 x 1 + 395
Step 3: We consider the new divisor 620 and the new remainder 395, and apply the division lemma to get
620 = 395 x 1 + 225
We consider the new divisor 395 and the new remainder 225,and apply the division lemma to get
395 = 225 x 1 + 170
We consider the new divisor 225 and the new remainder 170,and apply the division lemma to get
225 = 170 x 1 + 55
We consider the new divisor 170 and the new remainder 55,and apply the division lemma to get
170 = 55 x 3 + 5
We consider the new divisor 55 and the new remainder 5,and apply the division lemma to get
55 = 5 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1015 and 1635 is 5
Notice that 5 = HCF(55,5) = HCF(170,55) = HCF(225,170) = HCF(395,225) = HCF(620,395) = HCF(1015,620) = HCF(1635,1015) .
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Frequently Asked Questions on HCF of 1015, 1635 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 1015, 1635?
Answer: HCF of 1015, 1635 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1015, 1635 using Euclid's Algorithm?
Answer: For arbitrary numbers 1015, 1635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.