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 8300, 9387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8300, 9387 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 8300, 9387 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 8300, 9387 is 1.
HCF(8300, 9387) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8300, 9387 is 1.
Step 1: Since 9387 > 8300, we apply the division lemma to 9387 and 8300, to get
9387 = 8300 x 1 + 1087
Step 2: Since the reminder 8300 ≠ 0, we apply division lemma to 1087 and 8300, to get
8300 = 1087 x 7 + 691
Step 3: We consider the new divisor 1087 and the new remainder 691, and apply the division lemma to get
1087 = 691 x 1 + 396
We consider the new divisor 691 and the new remainder 396,and apply the division lemma to get
691 = 396 x 1 + 295
We consider the new divisor 396 and the new remainder 295,and apply the division lemma to get
396 = 295 x 1 + 101
We consider the new divisor 295 and the new remainder 101,and apply the division lemma to get
295 = 101 x 2 + 93
We consider the new divisor 101 and the new remainder 93,and apply the division lemma to get
101 = 93 x 1 + 8
We consider the new divisor 93 and the new remainder 8,and apply the division lemma to get
93 = 8 x 11 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8300 and 9387 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(93,8) = HCF(101,93) = HCF(295,101) = HCF(396,295) = HCF(691,396) = HCF(1087,691) = HCF(8300,1087) = HCF(9387,8300) .
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 8300, 9387?
Answer: HCF of 8300, 9387 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8300, 9387 using Euclid's Algorithm?
Answer: For arbitrary numbers 8300, 9387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.