Highest Common Factor of 5212, 2615 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 5212, 2615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5212, 2615 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 5212, 2615 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 5212, 2615 is 1.
HCF(5212, 2615) = 1
HCF of 5212, 2615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5212, 2615 is 1.
Highest Common Factor of 5212,2615 is 1
Step 1: Since 5212 > 2615, we apply the division lemma to 5212 and 2615, to get
5212 = 2615 x 1 + 2597
Step 2: Since the reminder 2615 ≠ 0, we apply division lemma to 2597 and 2615, to get
2615 = 2597 x 1 + 18
Step 3: We consider the new divisor 2597 and the new remainder 18, and apply the division lemma to get
2597 = 18 x 144 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5212 and 2615 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(2597,18) = HCF(2615,2597) = HCF(5212,2615) .
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Frequently Asked Questions on HCF of 5212, 2615 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 5212, 2615?
Answer: HCF of 5212, 2615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5212, 2615 using Euclid's Algorithm?
Answer: For arbitrary numbers 5212, 2615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.