Highest Common Factor of 2515, 5248 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 2515, 5248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2515, 5248 is 1 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 2515, 5248 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 2515, 5248 is 1.
HCF(2515, 5248) = 1
HCF of 2515, 5248 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2515, 5248 is 1.
Highest Common Factor of 2515,5248 is 1
Step 1: Since 5248 > 2515, we apply the division lemma to 5248 and 2515, to get
5248 = 2515 x 2 + 218
Step 2: Since the reminder 2515 ≠ 0, we apply division lemma to 218 and 2515, to get
2515 = 218 x 11 + 117
Step 3: We consider the new divisor 218 and the new remainder 117, and apply the division lemma to get
218 = 117 x 1 + 101
We consider the new divisor 117 and the new remainder 101,and apply the division lemma to get
117 = 101 x 1 + 16
We consider the new divisor 101 and the new remainder 16,and apply the division lemma to get
101 = 16 x 6 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2515 and 5248 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(101,16) = HCF(117,101) = HCF(218,117) = HCF(2515,218) = HCF(5248,2515) .
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Frequently Asked Questions on HCF of 2515, 5248 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 2515, 5248?
Answer: HCF of 2515, 5248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2515, 5248 using Euclid's Algorithm?
Answer: For arbitrary numbers 2515, 5248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.