Highest Common Factor of 393, 642, 294 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 393, 642, 294 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 642, 294 is 3 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 393, 642, 294 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 393, 642, 294 is 3.
HCF(393, 642, 294) = 3
HCF of 393, 642, 294 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 642, 294 is 3.
Highest Common Factor of 393,642,294 is 3
Step 1: Since 642 > 393, we apply the division lemma to 642 and 393, to get
642 = 393 x 1 + 249
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 249 and 393, to get
393 = 249 x 1 + 144
Step 3: We consider the new divisor 249 and the new remainder 144, and apply the division lemma to get
249 = 144 x 1 + 105
We consider the new divisor 144 and the new remainder 105,and apply the division lemma to get
144 = 105 x 1 + 39
We consider the new divisor 105 and the new remainder 39,and apply the division lemma to get
105 = 39 x 2 + 27
We consider the new divisor 39 and the new remainder 27,and apply the division lemma to get
39 = 27 x 1 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 393 and 642 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(105,39) = HCF(144,105) = HCF(249,144) = HCF(393,249) = HCF(642,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 294 > 3, we apply the division lemma to 294 and 3, to get
294 = 3 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 294 is 3
Notice that 3 = HCF(294,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 393, 642, 294 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 393, 642, 294?
Answer: HCF of 393, 642, 294 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 642, 294 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 642, 294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
