Highest Common Factor of 3115, 6559, 10259 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 3115, 6559, 10259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3115, 6559, 10259 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 3115, 6559, 10259 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 3115, 6559, 10259 is 1.
HCF(3115, 6559, 10259) = 1
HCF of 3115, 6559, 10259 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3115, 6559, 10259 is 1.
Highest Common Factor of 3115,6559,10259 is 1
Step 1: Since 6559 > 3115, we apply the division lemma to 6559 and 3115, to get
6559 = 3115 x 2 + 329
Step 2: Since the reminder 3115 ≠ 0, we apply division lemma to 329 and 3115, to get
3115 = 329 x 9 + 154
Step 3: We consider the new divisor 329 and the new remainder 154, and apply the division lemma to get
329 = 154 x 2 + 21
We consider the new divisor 154 and the new remainder 21,and apply the division lemma to get
154 = 21 x 7 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3115 and 6559 is 7
Notice that 7 = HCF(21,7) = HCF(154,21) = HCF(329,154) = HCF(3115,329) = HCF(6559,3115) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10259 > 7, we apply the division lemma to 10259 and 7, to get
10259 = 7 x 1465 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 10259 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(10259,7) .
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Frequently Asked Questions on HCF of 3115, 6559, 10259 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 3115, 6559, 10259?
Answer: HCF of 3115, 6559, 10259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3115, 6559, 10259 using Euclid's Algorithm?
Answer: For arbitrary numbers 3115, 6559, 10259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.