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 9467, 5147, 84613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9467, 5147, 84613 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 9467, 5147, 84613 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 9467, 5147, 84613 is 1.
HCF(9467, 5147, 84613) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9467, 5147, 84613 is 1.
Step 1: Since 9467 > 5147, we apply the division lemma to 9467 and 5147, to get
9467 = 5147 x 1 + 4320
Step 2: Since the reminder 5147 ≠ 0, we apply division lemma to 4320 and 5147, to get
5147 = 4320 x 1 + 827
Step 3: We consider the new divisor 4320 and the new remainder 827, and apply the division lemma to get
4320 = 827 x 5 + 185
We consider the new divisor 827 and the new remainder 185,and apply the division lemma to get
827 = 185 x 4 + 87
We consider the new divisor 185 and the new remainder 87,and apply the division lemma to get
185 = 87 x 2 + 11
We consider the new divisor 87 and the new remainder 11,and apply the division lemma to get
87 = 11 x 7 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9467 and 5147 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(87,11) = HCF(185,87) = HCF(827,185) = HCF(4320,827) = HCF(5147,4320) = HCF(9467,5147) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84613 > 1, we apply the division lemma to 84613 and 1, to get
84613 = 1 x 84613 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84613 is 1
Notice that 1 = HCF(84613,1) .
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 9467, 5147, 84613?
Answer: HCF of 9467, 5147, 84613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9467, 5147, 84613 using Euclid's Algorithm?
Answer: For arbitrary numbers 9467, 5147, 84613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.