Highest Common Factor of 624, 399 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 624, 399 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 624, 399 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 624, 399 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 624, 399 is 3.
HCF(624, 399) = 3
HCF of 624, 399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 624, 399 is 3.
Highest Common Factor of 624,399 is 3
Step 1: Since 624 > 399, we apply the division lemma to 624 and 399, to get
624 = 399 x 1 + 225
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 225 and 399, to get
399 = 225 x 1 + 174
Step 3: We consider the new divisor 225 and the new remainder 174, and apply the division lemma to get
225 = 174 x 1 + 51
We consider the new divisor 174 and the new remainder 51,and apply the division lemma to get
174 = 51 x 3 + 21
We consider the new divisor 51 and the new remainder 21,and apply the division lemma to get
51 = 21 x 2 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 624 and 399 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(51,21) = HCF(174,51) = HCF(225,174) = HCF(399,225) = HCF(624,399) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 624, 399 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 624, 399?
Answer: HCF of 624, 399 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 624, 399 using Euclid's Algorithm?
Answer: For arbitrary numbers 624, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.