Highest Common Factor of 960, 621, 399 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 960, 621, 399 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 621, 399 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 960, 621, 399 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 960, 621, 399 is 3.
HCF(960, 621, 399) = 3
HCF of 960, 621, 399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 621, 399 is 3.
Highest Common Factor of 960,621,399 is 3
Step 1: Since 960 > 621, we apply the division lemma to 960 and 621, to get
960 = 621 x 1 + 339
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 339 and 621, to get
621 = 339 x 1 + 282
Step 3: We consider the new divisor 339 and the new remainder 282, and apply the division lemma to get
339 = 282 x 1 + 57
We consider the new divisor 282 and the new remainder 57,and apply the division lemma to get
282 = 57 x 4 + 54
We consider the new divisor 57 and the new remainder 54,and apply the division lemma to get
57 = 54 x 1 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 960 and 621 is 3
Notice that 3 = HCF(54,3) = HCF(57,54) = HCF(282,57) = HCF(339,282) = HCF(621,339) = HCF(960,621) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 399 > 3, we apply the division lemma to 399 and 3, to get
399 = 3 x 133 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 399 is 3
Notice that 3 = HCF(399,3) .
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Frequently Asked Questions on HCF of 960, 621, 399 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 960, 621, 399?
Answer: HCF of 960, 621, 399 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 621, 399 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 621, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.