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 4550, 9723 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4550, 9723 is 7 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 4550, 9723 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 4550, 9723 is 7.
HCF(4550, 9723) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4550, 9723 is 7.
Step 1: Since 9723 > 4550, we apply the division lemma to 9723 and 4550, to get
9723 = 4550 x 2 + 623
Step 2: Since the reminder 4550 ≠ 0, we apply division lemma to 623 and 4550, to get
4550 = 623 x 7 + 189
Step 3: We consider the new divisor 623 and the new remainder 189, and apply the division lemma to get
623 = 189 x 3 + 56
We consider the new divisor 189 and the new remainder 56,and apply the division lemma to get
189 = 56 x 3 + 21
We consider the new divisor 56 and the new remainder 21,and apply the division lemma to get
56 = 21 x 2 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4550 and 9723 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(56,21) = HCF(189,56) = HCF(623,189) = HCF(4550,623) = HCF(9723,4550) .
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 4550, 9723?
Answer: HCF of 4550, 9723 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4550, 9723 using Euclid's Algorithm?
Answer: For arbitrary numbers 4550, 9723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.