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, 9096, 68235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9467, 9096, 68235 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, 9096, 68235 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, 9096, 68235 is 1.
HCF(9467, 9096, 68235) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9467, 9096, 68235 is 1.
Step 1: Since 9467 > 9096, we apply the division lemma to 9467 and 9096, to get
9467 = 9096 x 1 + 371
Step 2: Since the reminder 9096 ≠ 0, we apply division lemma to 371 and 9096, to get
9096 = 371 x 24 + 192
Step 3: We consider the new divisor 371 and the new remainder 192, and apply the division lemma to get
371 = 192 x 1 + 179
We consider the new divisor 192 and the new remainder 179,and apply the division lemma to get
192 = 179 x 1 + 13
We consider the new divisor 179 and the new remainder 13,and apply the division lemma to get
179 = 13 x 13 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 9467 and 9096 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(179,13) = HCF(192,179) = HCF(371,192) = HCF(9096,371) = HCF(9467,9096) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68235 > 1, we apply the division lemma to 68235 and 1, to get
68235 = 1 x 68235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68235 is 1
Notice that 1 = HCF(68235,1) .
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, 9096, 68235?
Answer: HCF of 9467, 9096, 68235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9467, 9096, 68235 using Euclid's Algorithm?
Answer: For arbitrary numbers 9467, 9096, 68235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.