Highest Common Factor of 3549, 3689 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 3549, 3689 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3549, 3689 is 7 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 3549, 3689 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 3549, 3689 is 7.
HCF(3549, 3689) = 7
HCF of 3549, 3689 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3549, 3689 is 7.
Highest Common Factor of 3549,3689 is 7
Step 1: Since 3689 > 3549, we apply the division lemma to 3689 and 3549, to get
3689 = 3549 x 1 + 140
Step 2: Since the reminder 3549 ≠ 0, we apply division lemma to 140 and 3549, to get
3549 = 140 x 25 + 49
Step 3: We consider the new divisor 140 and the new remainder 49, and apply the division lemma to get
140 = 49 x 2 + 42
We consider the new divisor 49 and the new remainder 42,and apply the division lemma to get
49 = 42 x 1 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3549 and 3689 is 7
Notice that 7 = HCF(42,7) = HCF(49,42) = HCF(140,49) = HCF(3549,140) = HCF(3689,3549) .
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Frequently Asked Questions on HCF of 3549, 3689 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 3549, 3689?
Answer: HCF of 3549, 3689 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3549, 3689 using Euclid's Algorithm?
Answer: For arbitrary numbers 3549, 3689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.