Highest Common Factor of 1915, 9693, 17075 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 1915, 9693, 17075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1915, 9693, 17075 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 1915, 9693, 17075 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 1915, 9693, 17075 is 1.
HCF(1915, 9693, 17075) = 1
HCF of 1915, 9693, 17075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1915, 9693, 17075 is 1.
Highest Common Factor of 1915,9693,17075 is 1
Step 1: Since 9693 > 1915, we apply the division lemma to 9693 and 1915, to get
9693 = 1915 x 5 + 118
Step 2: Since the reminder 1915 ≠ 0, we apply division lemma to 118 and 1915, to get
1915 = 118 x 16 + 27
Step 3: We consider the new divisor 118 and the new remainder 27, and apply the division lemma to get
118 = 27 x 4 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 1915 and 9693 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(118,27) = HCF(1915,118) = HCF(9693,1915) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17075 > 1, we apply the division lemma to 17075 and 1, to get
17075 = 1 x 17075 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17075 is 1
Notice that 1 = HCF(17075,1) .
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Frequently Asked Questions on HCF of 1915, 9693, 17075 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 1915, 9693, 17075?
Answer: HCF of 1915, 9693, 17075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1915, 9693, 17075 using Euclid's Algorithm?
Answer: For arbitrary numbers 1915, 9693, 17075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.