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 9263, 8767, 36298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9263, 8767, 36298 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 9263, 8767, 36298 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 9263, 8767, 36298 is 1.
HCF(9263, 8767, 36298) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9263, 8767, 36298 is 1.
Step 1: Since 9263 > 8767, we apply the division lemma to 9263 and 8767, to get
9263 = 8767 x 1 + 496
Step 2: Since the reminder 8767 ≠ 0, we apply division lemma to 496 and 8767, to get
8767 = 496 x 17 + 335
Step 3: We consider the new divisor 496 and the new remainder 335, and apply the division lemma to get
496 = 335 x 1 + 161
We consider the new divisor 335 and the new remainder 161,and apply the division lemma to get
335 = 161 x 2 + 13
We consider the new divisor 161 and the new remainder 13,and apply the division lemma to get
161 = 13 x 12 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 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 9263 and 8767 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(161,13) = HCF(335,161) = HCF(496,335) = HCF(8767,496) = HCF(9263,8767) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36298 > 1, we apply the division lemma to 36298 and 1, to get
36298 = 1 x 36298 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36298 is 1
Notice that 1 = HCF(36298,1) .
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 9263, 8767, 36298?
Answer: HCF of 9263, 8767, 36298 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9263, 8767, 36298 using Euclid's Algorithm?
Answer: For arbitrary numbers 9263, 8767, 36298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.