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 1329, 4062 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1329, 4062 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 1329, 4062 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 1329, 4062 is 3.
HCF(1329, 4062) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1329, 4062 is 3.
Step 1: Since 4062 > 1329, we apply the division lemma to 4062 and 1329, to get
4062 = 1329 x 3 + 75
Step 2: Since the reminder 1329 ≠ 0, we apply division lemma to 75 and 1329, to get
1329 = 75 x 17 + 54
Step 3: We consider the new divisor 75 and the new remainder 54, and apply the division lemma to get
75 = 54 x 1 + 21
We consider the new divisor 54 and the new remainder 21,and apply the division lemma to get
54 = 21 x 2 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 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 1329 and 4062 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(54,21) = HCF(75,54) = HCF(1329,75) = HCF(4062,1329) .
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 1329, 4062?
Answer: HCF of 1329, 4062 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1329, 4062 using Euclid's Algorithm?
Answer: For arbitrary numbers 1329, 4062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.