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 352, 658, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 352, 658, 433 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 352, 658, 433 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 352, 658, 433 is 1.
HCF(352, 658, 433) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 352, 658, 433 is 1.
Step 1: Since 658 > 352, we apply the division lemma to 658 and 352, to get
658 = 352 x 1 + 306
Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 306 and 352, to get
352 = 306 x 1 + 46
Step 3: We consider the new divisor 306 and the new remainder 46, and apply the division lemma to get
306 = 46 x 6 + 30
We consider the new divisor 46 and the new remainder 30,and apply the division lemma to get
46 = 30 x 1 + 16
We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get
30 = 16 x 1 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 352 and 658 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(46,30) = HCF(306,46) = HCF(352,306) = HCF(658,352) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 433 > 2, we apply the division lemma to 433 and 2, to get
433 = 2 x 216 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 433 is 1
Notice that 1 = HCF(2,1) = HCF(433,2) .
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 352, 658, 433?
Answer: HCF of 352, 658, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 352, 658, 433 using Euclid's Algorithm?
Answer: For arbitrary numbers 352, 658, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.