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, 352, 240 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 352, 240 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, 352, 240 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, 352, 240 is 1.
HCF(933, 352, 240) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 352, 240 is 1.
Step 1: Since 933 > 352, we apply the division lemma to 933 and 352, to get
933 = 352 x 2 + 229
Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 229 and 352, to get
352 = 229 x 1 + 123
Step 3: We consider the new divisor 229 and the new remainder 123, and apply the division lemma to get
229 = 123 x 1 + 106
We consider the new divisor 123 and the new remainder 106,and apply the division lemma to get
123 = 106 x 1 + 17
We consider the new divisor 106 and the new remainder 17,and apply the division lemma to get
106 = 17 x 6 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 352 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(106,17) = HCF(123,106) = HCF(229,123) = HCF(352,229) = HCF(933,352) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 240 > 1, we apply the division lemma to 240 and 1, to get
240 = 1 x 240 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 240 is 1
Notice that 1 = HCF(240,1) .
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, 352, 240?
Answer: HCF of 933, 352, 240 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 352, 240 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 352, 240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.