Highest Common Factor of 3685, 7185 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 3685, 7185 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3685, 7185 is 5 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 3685, 7185 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 3685, 7185 is 5.
HCF(3685, 7185) = 5
HCF of 3685, 7185 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3685, 7185 is 5.
Highest Common Factor of 3685,7185 is 5
Step 1: Since 7185 > 3685, we apply the division lemma to 7185 and 3685, to get
7185 = 3685 x 1 + 3500
Step 2: Since the reminder 3685 ≠ 0, we apply division lemma to 3500 and 3685, to get
3685 = 3500 x 1 + 185
Step 3: We consider the new divisor 3500 and the new remainder 185, and apply the division lemma to get
3500 = 185 x 18 + 170
We consider the new divisor 185 and the new remainder 170,and apply the division lemma to get
185 = 170 x 1 + 15
We consider the new divisor 170 and the new remainder 15,and apply the division lemma to get
170 = 15 x 11 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3685 and 7185 is 5
Notice that 5 = HCF(15,5) = HCF(170,15) = HCF(185,170) = HCF(3500,185) = HCF(3685,3500) = HCF(7185,3685) .
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Frequently Asked Questions on HCF of 3685, 7185 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 3685, 7185?
Answer: HCF of 3685, 7185 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3685, 7185 using Euclid's Algorithm?
Answer: For arbitrary numbers 3685, 7185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
