Highest Common Factor of 5470, 6515 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 5470, 6515 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5470, 6515 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 5470, 6515 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 5470, 6515 is 5.
HCF(5470, 6515) = 5
HCF of 5470, 6515 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5470, 6515 is 5.
Highest Common Factor of 5470,6515 is 5
Step 1: Since 6515 > 5470, we apply the division lemma to 6515 and 5470, to get
6515 = 5470 x 1 + 1045
Step 2: Since the reminder 5470 ≠ 0, we apply division lemma to 1045 and 5470, to get
5470 = 1045 x 5 + 245
Step 3: We consider the new divisor 1045 and the new remainder 245, and apply the division lemma to get
1045 = 245 x 4 + 65
We consider the new divisor 245 and the new remainder 65,and apply the division lemma to get
245 = 65 x 3 + 50
We consider the new divisor 65 and the new remainder 50,and apply the division lemma to get
65 = 50 x 1 + 15
We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get
50 = 15 x 3 + 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 5470 and 6515 is 5
Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(65,50) = HCF(245,65) = HCF(1045,245) = HCF(5470,1045) = HCF(6515,5470) .
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Frequently Asked Questions on HCF of 5470, 6515 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 5470, 6515?
Answer: HCF of 5470, 6515 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5470, 6515 using Euclid's Algorithm?
Answer: For arbitrary numbers 5470, 6515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
