Highest Common Factor of 3330, 7899, 17035 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 3330, 7899, 17035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3330, 7899, 17035 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 3330, 7899, 17035 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 3330, 7899, 17035 is 1.
HCF(3330, 7899, 17035) = 1
HCF of 3330, 7899, 17035 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3330, 7899, 17035 is 1.
Highest Common Factor of 3330,7899,17035 is 1
Step 1: Since 7899 > 3330, we apply the division lemma to 7899 and 3330, to get
7899 = 3330 x 2 + 1239
Step 2: Since the reminder 3330 ≠ 0, we apply division lemma to 1239 and 3330, to get
3330 = 1239 x 2 + 852
Step 3: We consider the new divisor 1239 and the new remainder 852, and apply the division lemma to get
1239 = 852 x 1 + 387
We consider the new divisor 852 and the new remainder 387,and apply the division lemma to get
852 = 387 x 2 + 78
We consider the new divisor 387 and the new remainder 78,and apply the division lemma to get
387 = 78 x 4 + 75
We consider the new divisor 78 and the new remainder 75,and apply the division lemma to get
78 = 75 x 1 + 3
We consider the new divisor 75 and the new remainder 3,and apply the division lemma to get
75 = 3 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3330 and 7899 is 3
Notice that 3 = HCF(75,3) = HCF(78,75) = HCF(387,78) = HCF(852,387) = HCF(1239,852) = HCF(3330,1239) = HCF(7899,3330) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17035 > 3, we apply the division lemma to 17035 and 3, to get
17035 = 3 x 5678 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 17035 is 1
Notice that 1 = HCF(3,1) = HCF(17035,3) .
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Frequently Asked Questions on HCF of 3330, 7899, 17035 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 3330, 7899, 17035?
Answer: HCF of 3330, 7899, 17035 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3330, 7899, 17035 using Euclid's Algorithm?
Answer: For arbitrary numbers 3330, 7899, 17035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.