Highest Common Factor of 6654, 8387 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 6654, 8387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6654, 8387 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 6654, 8387 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 6654, 8387 is 1.
HCF(6654, 8387) = 1
HCF of 6654, 8387 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6654, 8387 is 1.
Highest Common Factor of 6654,8387 is 1
Step 1: Since 8387 > 6654, we apply the division lemma to 8387 and 6654, to get
8387 = 6654 x 1 + 1733
Step 2: Since the reminder 6654 ≠ 0, we apply division lemma to 1733 and 6654, to get
6654 = 1733 x 3 + 1455
Step 3: We consider the new divisor 1733 and the new remainder 1455, and apply the division lemma to get
1733 = 1455 x 1 + 278
We consider the new divisor 1455 and the new remainder 278,and apply the division lemma to get
1455 = 278 x 5 + 65
We consider the new divisor 278 and the new remainder 65,and apply the division lemma to get
278 = 65 x 4 + 18
We consider the new divisor 65 and the new remainder 18,and apply the division lemma to get
65 = 18 x 3 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 6654 and 8387 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(65,18) = HCF(278,65) = HCF(1455,278) = HCF(1733,1455) = HCF(6654,1733) = HCF(8387,6654) .
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Frequently Asked Questions on HCF of 6654, 8387 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 6654, 8387?
Answer: HCF of 6654, 8387 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6654, 8387 using Euclid's Algorithm?
Answer: For arbitrary numbers 6654, 8387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.