Highest Common Factor of 8623, 736 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 8623, 736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8623, 736 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 8623, 736 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 8623, 736 is 1.
HCF(8623, 736) = 1
HCF of 8623, 736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8623, 736 is 1.
Highest Common Factor of 8623,736 is 1
Step 1: Since 8623 > 736, we apply the division lemma to 8623 and 736, to get
8623 = 736 x 11 + 527
Step 2: Since the reminder 736 ≠ 0, we apply division lemma to 527 and 736, to get
736 = 527 x 1 + 209
Step 3: We consider the new divisor 527 and the new remainder 209, and apply the division lemma to get
527 = 209 x 2 + 109
We consider the new divisor 209 and the new remainder 109,and apply the division lemma to get
209 = 109 x 1 + 100
We consider the new divisor 109 and the new remainder 100,and apply the division lemma to get
109 = 100 x 1 + 9
We consider the new divisor 100 and the new remainder 9,and apply the division lemma to get
100 = 9 x 11 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8623 and 736 is 1
Notice that 1 = HCF(9,1) = HCF(100,9) = HCF(109,100) = HCF(209,109) = HCF(527,209) = HCF(736,527) = HCF(8623,736) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8623, 736 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 8623, 736?
Answer: HCF of 8623, 736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8623, 736 using Euclid's Algorithm?
Answer: For arbitrary numbers 8623, 736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.