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, 5023 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 792, 5023 is 1 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, 5023 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, 5023 is 1.
HCF(792, 5023) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 792, 5023 is 1.
Step 1: Since 5023 > 792, we apply the division lemma to 5023 and 792, to get
5023 = 792 x 6 + 271
Step 2: Since the reminder 792 ≠ 0, we apply division lemma to 271 and 792, to get
792 = 271 x 2 + 250
Step 3: We consider the new divisor 271 and the new remainder 250, and apply the division lemma to get
271 = 250 x 1 + 21
We consider the new divisor 250 and the new remainder 21,and apply the division lemma to get
250 = 21 x 11 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 792 and 5023 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(250,21) = HCF(271,250) = HCF(792,271) = HCF(5023,792) .
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 792, 5023?
Answer: HCF of 792, 5023 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 792, 5023 using Euclid's Algorithm?
Answer: For arbitrary numbers 792, 5023 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.