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 9389, 3679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9389, 3679 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 9389, 3679 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 9389, 3679 is 1.
HCF(9389, 3679) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9389, 3679 is 1.
Step 1: Since 9389 > 3679, we apply the division lemma to 9389 and 3679, to get
9389 = 3679 x 2 + 2031
Step 2: Since the reminder 3679 ≠ 0, we apply division lemma to 2031 and 3679, to get
3679 = 2031 x 1 + 1648
Step 3: We consider the new divisor 2031 and the new remainder 1648, and apply the division lemma to get
2031 = 1648 x 1 + 383
We consider the new divisor 1648 and the new remainder 383,and apply the division lemma to get
1648 = 383 x 4 + 116
We consider the new divisor 383 and the new remainder 116,and apply the division lemma to get
383 = 116 x 3 + 35
We consider the new divisor 116 and the new remainder 35,and apply the division lemma to get
116 = 35 x 3 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9389 and 3679 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(116,35) = HCF(383,116) = HCF(1648,383) = HCF(2031,1648) = HCF(3679,2031) = HCF(9389,3679) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9389, 3679?
Answer: HCF of 9389, 3679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9389, 3679 using Euclid's Algorithm?
Answer: For arbitrary numbers 9389, 3679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.