Highest Common Factor of 399, 532, 38 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 399, 532, 38 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 399, 532, 38 is 19 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 399, 532, 38 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 399, 532, 38 is 19.
HCF(399, 532, 38) = 19
HCF of 399, 532, 38 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 399, 532, 38 is 19.
Highest Common Factor of 399,532,38 is 19
Step 1: Since 532 > 399, we apply the division lemma to 532 and 399, to get
532 = 399 x 1 + 133
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 133 and 399, to get
399 = 133 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 133, the HCF of 399 and 532 is 133
Notice that 133 = HCF(399,133) = HCF(532,399) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 133 > 38, we apply the division lemma to 133 and 38, to get
133 = 38 x 3 + 19
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 19 and 38, to get
38 = 19 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 133 and 38 is 19
Notice that 19 = HCF(38,19) = HCF(133,38) .
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Frequently Asked Questions on HCF of 399, 532, 38 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 399, 532, 38?
Answer: HCF of 399, 532, 38 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 399, 532, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 399, 532, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.