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 9463, 5184, 83934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9463, 5184, 83934 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 9463, 5184, 83934 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 9463, 5184, 83934 is 1.
HCF(9463, 5184, 83934) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9463, 5184, 83934 is 1.
Step 1: Since 9463 > 5184, we apply the division lemma to 9463 and 5184, to get
9463 = 5184 x 1 + 4279
Step 2: Since the reminder 5184 ≠ 0, we apply division lemma to 4279 and 5184, to get
5184 = 4279 x 1 + 905
Step 3: We consider the new divisor 4279 and the new remainder 905, and apply the division lemma to get
4279 = 905 x 4 + 659
We consider the new divisor 905 and the new remainder 659,and apply the division lemma to get
905 = 659 x 1 + 246
We consider the new divisor 659 and the new remainder 246,and apply the division lemma to get
659 = 246 x 2 + 167
We consider the new divisor 246 and the new remainder 167,and apply the division lemma to get
246 = 167 x 1 + 79
We consider the new divisor 167 and the new remainder 79,and apply the division lemma to get
167 = 79 x 2 + 9
We consider the new divisor 79 and the new remainder 9,and apply the division lemma to get
79 = 9 x 8 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9463 and 5184 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(79,9) = HCF(167,79) = HCF(246,167) = HCF(659,246) = HCF(905,659) = HCF(4279,905) = HCF(5184,4279) = HCF(9463,5184) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83934 > 1, we apply the division lemma to 83934 and 1, to get
83934 = 1 x 83934 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83934 is 1
Notice that 1 = HCF(83934,1) .
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 9463, 5184, 83934?
Answer: HCF of 9463, 5184, 83934 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9463, 5184, 83934 using Euclid's Algorithm?
Answer: For arbitrary numbers 9463, 5184, 83934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.