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 933, 575, 723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 575, 723 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 933, 575, 723 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 933, 575, 723 is 1.
HCF(933, 575, 723) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 575, 723 is 1.
Step 1: Since 933 > 575, we apply the division lemma to 933 and 575, to get
933 = 575 x 1 + 358
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 358 and 575, to get
575 = 358 x 1 + 217
Step 3: We consider the new divisor 358 and the new remainder 217, and apply the division lemma to get
358 = 217 x 1 + 141
We consider the new divisor 217 and the new remainder 141,and apply the division lemma to get
217 = 141 x 1 + 76
We consider the new divisor 141 and the new remainder 76,and apply the division lemma to get
141 = 76 x 1 + 65
We consider the new divisor 76 and the new remainder 65,and apply the division lemma to get
76 = 65 x 1 + 11
We consider the new divisor 65 and the new remainder 11,and apply the division lemma to get
65 = 11 x 5 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 575 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(65,11) = HCF(76,65) = HCF(141,76) = HCF(217,141) = HCF(358,217) = HCF(575,358) = HCF(933,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 723 > 1, we apply the division lemma to 723 and 1, to get
723 = 1 x 723 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 723 is 1
Notice that 1 = HCF(723,1) .
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 933, 575, 723?
Answer: HCF of 933, 575, 723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 575, 723 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 575, 723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.