Highest Common Factor of 709, 9909, 3605 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 709, 9909, 3605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 9909, 3605 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 709, 9909, 3605 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 709, 9909, 3605 is 1.
HCF(709, 9909, 3605) = 1
HCF of 709, 9909, 3605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 9909, 3605 is 1.
Highest Common Factor of 709,9909,3605 is 1
Step 1: Since 9909 > 709, we apply the division lemma to 9909 and 709, to get
9909 = 709 x 13 + 692
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 692 and 709, to get
709 = 692 x 1 + 17
Step 3: We consider the new divisor 692 and the new remainder 17, and apply the division lemma to get
692 = 17 x 40 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 709 and 9909 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(692,17) = HCF(709,692) = HCF(9909,709) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3605 > 1, we apply the division lemma to 3605 and 1, to get
3605 = 1 x 3605 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3605 is 1
Notice that 1 = HCF(3605,1) .
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Frequently Asked Questions on HCF of 709, 9909, 3605 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 709, 9909, 3605?
Answer: HCF of 709, 9909, 3605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 9909, 3605 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 9909, 3605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.