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 6729, 4446 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6729, 4446 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 6729, 4446 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 6729, 4446 is 3.
HCF(6729, 4446) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6729, 4446 is 3.
Step 1: Since 6729 > 4446, we apply the division lemma to 6729 and 4446, to get
6729 = 4446 x 1 + 2283
Step 2: Since the reminder 4446 ≠ 0, we apply division lemma to 2283 and 4446, to get
4446 = 2283 x 1 + 2163
Step 3: We consider the new divisor 2283 and the new remainder 2163, and apply the division lemma to get
2283 = 2163 x 1 + 120
We consider the new divisor 2163 and the new remainder 120,and apply the division lemma to get
2163 = 120 x 18 + 3
We consider the new divisor 120 and the new remainder 3,and apply the division lemma to get
120 = 3 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6729 and 4446 is 3
Notice that 3 = HCF(120,3) = HCF(2163,120) = HCF(2283,2163) = HCF(4446,2283) = HCF(6729,4446) .
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 6729, 4446?
Answer: HCF of 6729, 4446 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6729, 4446 using Euclid's Algorithm?
Answer: For arbitrary numbers 6729, 4446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.