Highest Common Factor of 515, 63655 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 515, 63655 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 63655 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 515, 63655 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 515, 63655 is 5.
HCF(515, 63655) = 5
HCF of 515, 63655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 63655 is 5.
Highest Common Factor of 515,63655 is 5
Step 1: Since 63655 > 515, we apply the division lemma to 63655 and 515, to get
63655 = 515 x 123 + 310
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 310 and 515, to get
515 = 310 x 1 + 205
Step 3: We consider the new divisor 310 and the new remainder 205, and apply the division lemma to get
310 = 205 x 1 + 105
We consider the new divisor 205 and the new remainder 105,and apply the division lemma to get
205 = 105 x 1 + 100
We consider the new divisor 105 and the new remainder 100,and apply the division lemma to get
105 = 100 x 1 + 5
We consider the new divisor 100 and the new remainder 5,and apply the division lemma to get
100 = 5 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 515 and 63655 is 5
Notice that 5 = HCF(100,5) = HCF(105,100) = HCF(205,105) = HCF(310,205) = HCF(515,310) = HCF(63655,515) .
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Frequently Asked Questions on HCF of 515, 63655 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 515, 63655?
Answer: HCF of 515, 63655 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 63655 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 63655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.