Highest Common Factor of 9330, 6264, 56338 using Euclid's algorithm
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 9330, 6264, 56338 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9330, 6264, 56338 is 2 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 9330, 6264, 56338 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 9330, 6264, 56338 is 2.
HCF(9330, 6264, 56338) = 2
HCF of 9330, 6264, 56338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9330, 6264, 56338 is 2.
Highest Common Factor of 9330,6264,56338 is 2
Step 1: Since 9330 > 6264, we apply the division lemma to 9330 and 6264, to get
9330 = 6264 x 1 + 3066
Step 2: Since the reminder 6264 ≠ 0, we apply division lemma to 3066 and 6264, to get
6264 = 3066 x 2 + 132
Step 3: We consider the new divisor 3066 and the new remainder 132, and apply the division lemma to get
3066 = 132 x 23 + 30
We consider the new divisor 132 and the new remainder 30,and apply the division lemma to get
132 = 30 x 4 + 12
We consider the new divisor 30 and the new remainder 12,and apply the division lemma to get
30 = 12 x 2 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 9330 and 6264 is 6
Notice that 6 = HCF(12,6) = HCF(30,12) = HCF(132,30) = HCF(3066,132) = HCF(6264,3066) = HCF(9330,6264) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56338 > 6, we apply the division lemma to 56338 and 6, to get
56338 = 6 x 9389 + 4
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 4 and 6, to get
6 = 4 x 1 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6 and 56338 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(56338,6) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9330, 6264, 56338 using Euclid's Algorithm
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 9330, 6264, 56338?
Answer: HCF of 9330, 6264, 56338 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9330, 6264, 56338 using Euclid's Algorithm?
Answer: For arbitrary numbers 9330, 6264, 56338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.