Highest Common Factor of 3489, 3709 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 3489, 3709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3489, 3709 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 3489, 3709 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 3489, 3709 is 1.
HCF(3489, 3709) = 1
HCF of 3489, 3709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3489, 3709 is 1.
Highest Common Factor of 3489,3709 is 1
Step 1: Since 3709 > 3489, we apply the division lemma to 3709 and 3489, to get
3709 = 3489 x 1 + 220
Step 2: Since the reminder 3489 ≠ 0, we apply division lemma to 220 and 3489, to get
3489 = 220 x 15 + 189
Step 3: We consider the new divisor 220 and the new remainder 189, and apply the division lemma to get
220 = 189 x 1 + 31
We consider the new divisor 189 and the new remainder 31,and apply the division lemma to get
189 = 31 x 6 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 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 3489 and 3709 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(189,31) = HCF(220,189) = HCF(3489,220) = HCF(3709,3489) .
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Frequently Asked Questions on HCF of 3489, 3709 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 3489, 3709?
Answer: HCF of 3489, 3709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3489, 3709 using Euclid's Algorithm?
Answer: For arbitrary numbers 3489, 3709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
