Highest Common Factor of 933, 495, 300 using Euclid's algorithm
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, 495, 300 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 495, 300 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 933, 495, 300 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, 495, 300 is 3.
HCF(933, 495, 300) = 3
HCF of 933, 495, 300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 495, 300 is 3.
Highest Common Factor of 933,495,300 is 3
Step 1: Since 933 > 495, we apply the division lemma to 933 and 495, to get
933 = 495 x 1 + 438
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 438 and 495, to get
495 = 438 x 1 + 57
Step 3: We consider the new divisor 438 and the new remainder 57, and apply the division lemma to get
438 = 57 x 7 + 39
We consider the new divisor 57 and the new remainder 39,and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 933 and 495 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(438,57) = HCF(495,438) = HCF(933,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 300 > 3, we apply the division lemma to 300 and 3, to get
300 = 3 x 100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 300 is 3
Notice that 3 = HCF(300,3) .
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Frequently Asked Questions on HCF of 933, 495, 300 using Euclid's Algorithm
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, 495, 300?
Answer: HCF of 933, 495, 300 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 495, 300 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 495, 300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.