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 845, 150, 733 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 150, 733 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 845, 150, 733 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 845, 150, 733 is 1.
HCF(845, 150, 733) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 150, 733 is 1.
Step 1: Since 845 > 150, we apply the division lemma to 845 and 150, to get
845 = 150 x 5 + 95
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 95 and 150, to get
150 = 95 x 1 + 55
Step 3: We consider the new divisor 95 and the new remainder 55, and apply the division lemma to get
95 = 55 x 1 + 40
We consider the new divisor 55 and the new remainder 40,and apply the division lemma to get
55 = 40 x 1 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 845 and 150 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(55,40) = HCF(95,55) = HCF(150,95) = HCF(845,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 733 > 5, we apply the division lemma to 733 and 5, to get
733 = 5 x 146 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 5 and 733 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(733,5) .
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 845, 150, 733?
Answer: HCF of 845, 150, 733 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 150, 733 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 150, 733 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.