Highest Common Factor of 685, 3849 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 685, 3849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 685, 3849 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 685, 3849 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 685, 3849 is 1.
HCF(685, 3849) = 1
HCF of 685, 3849 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 685, 3849 is 1.
Highest Common Factor of 685,3849 is 1
Step 1: Since 3849 > 685, we apply the division lemma to 3849 and 685, to get
3849 = 685 x 5 + 424
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 424 and 685, to get
685 = 424 x 1 + 261
Step 3: We consider the new divisor 424 and the new remainder 261, and apply the division lemma to get
424 = 261 x 1 + 163
We consider the new divisor 261 and the new remainder 163,and apply the division lemma to get
261 = 163 x 1 + 98
We consider the new divisor 163 and the new remainder 98,and apply the division lemma to get
163 = 98 x 1 + 65
We consider the new divisor 98 and the new remainder 65,and apply the division lemma to get
98 = 65 x 1 + 33
We consider the new divisor 65 and the new remainder 33,and apply the division lemma to get
65 = 33 x 1 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 685 and 3849 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(65,33) = HCF(98,65) = HCF(163,98) = HCF(261,163) = HCF(424,261) = HCF(685,424) = HCF(3849,685) .
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Frequently Asked Questions on HCF of 685, 3849 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 685, 3849?
Answer: HCF of 685, 3849 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 685, 3849 using Euclid's Algorithm?
Answer: For arbitrary numbers 685, 3849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.