Highest Common Factor of 4269, 6816 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 4269, 6816 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4269, 6816 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 4269, 6816 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 4269, 6816 is 3.
HCF(4269, 6816) = 3
HCF of 4269, 6816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4269, 6816 is 3.
Highest Common Factor of 4269,6816 is 3
Step 1: Since 6816 > 4269, we apply the division lemma to 6816 and 4269, to get
6816 = 4269 x 1 + 2547
Step 2: Since the reminder 4269 ≠ 0, we apply division lemma to 2547 and 4269, to get
4269 = 2547 x 1 + 1722
Step 3: We consider the new divisor 2547 and the new remainder 1722, and apply the division lemma to get
2547 = 1722 x 1 + 825
We consider the new divisor 1722 and the new remainder 825,and apply the division lemma to get
1722 = 825 x 2 + 72
We consider the new divisor 825 and the new remainder 72,and apply the division lemma to get
825 = 72 x 11 + 33
We consider the new divisor 72 and the new remainder 33,and apply the division lemma to get
72 = 33 x 2 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4269 and 6816 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(72,33) = HCF(825,72) = HCF(1722,825) = HCF(2547,1722) = HCF(4269,2547) = HCF(6816,4269) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4269, 6816 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 4269, 6816?
Answer: HCF of 4269, 6816 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4269, 6816 using Euclid's Algorithm?
Answer: For arbitrary numbers 4269, 6816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.