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 723, 150 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 723, 150 is 3 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 723, 150 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 723, 150 is 3.
HCF(723, 150) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 723, 150 is 3.
Step 1: Since 723 > 150, we apply the division lemma to 723 and 150, to get
723 = 150 x 4 + 123
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 123 and 150, to get
150 = 123 x 1 + 27
Step 3: We consider the new divisor 123 and the new remainder 27, and apply the division lemma to get
123 = 27 x 4 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 723 and 150 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(123,27) = HCF(150,123) = HCF(723,150) .
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 723, 150?
Answer: HCF of 723, 150 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 723, 150 using Euclid's Algorithm?
Answer: For arbitrary numbers 723, 150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.