Highest Common Factor of 3982, 685 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 3982, 685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3982, 685 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 3982, 685 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 3982, 685 is 1.
HCF(3982, 685) = 1
HCF of 3982, 685 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3982, 685 is 1.
Highest Common Factor of 3982,685 is 1
Step 1: Since 3982 > 685, we apply the division lemma to 3982 and 685, to get
3982 = 685 x 5 + 557
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 557 and 685, to get
685 = 557 x 1 + 128
Step 3: We consider the new divisor 557 and the new remainder 128, and apply the division lemma to get
557 = 128 x 4 + 45
We consider the new divisor 128 and the new remainder 45,and apply the division lemma to get
128 = 45 x 2 + 38
We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get
45 = 38 x 1 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 3982 and 685 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(128,45) = HCF(557,128) = HCF(685,557) = HCF(3982,685) .
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Frequently Asked Questions on HCF of 3982, 685 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 3982, 685?
Answer: HCF of 3982, 685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3982, 685 using Euclid's Algorithm?
Answer: For arbitrary numbers 3982, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.