Highest Common Factor of 7423, 8712 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 7423, 8712 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7423, 8712 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 7423, 8712 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 7423, 8712 is 1.
HCF(7423, 8712) = 1
HCF of 7423, 8712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7423, 8712 is 1.
Highest Common Factor of 7423,8712 is 1
Step 1: Since 8712 > 7423, we apply the division lemma to 8712 and 7423, to get
8712 = 7423 x 1 + 1289
Step 2: Since the reminder 7423 ≠ 0, we apply division lemma to 1289 and 7423, to get
7423 = 1289 x 5 + 978
Step 3: We consider the new divisor 1289 and the new remainder 978, and apply the division lemma to get
1289 = 978 x 1 + 311
We consider the new divisor 978 and the new remainder 311,and apply the division lemma to get
978 = 311 x 3 + 45
We consider the new divisor 311 and the new remainder 45,and apply the division lemma to get
311 = 45 x 6 + 41
We consider the new divisor 45 and the new remainder 41,and apply the division lemma to get
45 = 41 x 1 + 4
We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get
41 = 4 x 10 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7423 and 8712 is 1
Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(45,41) = HCF(311,45) = HCF(978,311) = HCF(1289,978) = HCF(7423,1289) = HCF(8712,7423) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7423, 8712 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 7423, 8712?
Answer: HCF of 7423, 8712 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7423, 8712 using Euclid's Algorithm?
Answer: For arbitrary numbers 7423, 8712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.