Highest Common Factor of 792, 14817 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 792, 14817 i.e. 33 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 14817 is 33 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 792, 14817 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 792, 14817 is 33.
HCF(792, 14817) = 33
HCF of 792, 14817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 14817 is 33.
Highest Common Factor of 792,14817 is 33
Step 1: Since 14817 > 792, we apply the division lemma to 14817 and 792, to get
14817 = 792 x 18 + 561
Step 2: Since the reminder 792 ≠ 0, we apply division lemma to 561 and 792, to get
792 = 561 x 1 + 231
Step 3: We consider the new divisor 561 and the new remainder 231, and apply the division lemma to get
561 = 231 x 2 + 99
We consider the new divisor 231 and the new remainder 99,and apply the division lemma to get
231 = 99 x 2 + 33
We consider the new divisor 99 and the new remainder 33,and apply the division lemma to get
99 = 33 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 792 and 14817 is 33
Notice that 33 = HCF(99,33) = HCF(231,99) = HCF(561,231) = HCF(792,561) = HCF(14817,792) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 792, 14817 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 792, 14817?
Answer: HCF of 792, 14817 is 33 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 14817 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 14817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.