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 2793, 1326 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2793, 1326 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 2793, 1326 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 2793, 1326 is 3.
HCF(2793, 1326) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2793, 1326 is 3.
Step 1: Since 2793 > 1326, we apply the division lemma to 2793 and 1326, to get
2793 = 1326 x 2 + 141
Step 2: Since the reminder 1326 ≠ 0, we apply division lemma to 141 and 1326, to get
1326 = 141 x 9 + 57
Step 3: We consider the new divisor 141 and the new remainder 57, and apply the division lemma to get
141 = 57 x 2 + 27
We consider the new divisor 57 and the new remainder 27,and apply the division lemma to get
57 = 27 x 2 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2793 and 1326 is 3
Notice that 3 = HCF(27,3) = HCF(57,27) = HCF(141,57) = HCF(1326,141) = HCF(2793,1326) .
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 2793, 1326?
Answer: HCF of 2793, 1326 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2793, 1326 using Euclid's Algorithm?
Answer: For arbitrary numbers 2793, 1326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.