Highest Common Factor of 328, 530, 10 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 328, 530, 10 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 328, 530, 10 is 2 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 328, 530, 10 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 328, 530, 10 is 2.
HCF(328, 530, 10) = 2
HCF of 328, 530, 10 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 328, 530, 10 is 2.
Highest Common Factor of 328,530,10 is 2
Step 1: Since 530 > 328, we apply the division lemma to 530 and 328, to get
530 = 328 x 1 + 202
Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 202 and 328, to get
328 = 202 x 1 + 126
Step 3: We consider the new divisor 202 and the new remainder 126, and apply the division lemma to get
202 = 126 x 1 + 76
We consider the new divisor 126 and the new remainder 76,and apply the division lemma to get
126 = 76 x 1 + 50
We consider the new divisor 76 and the new remainder 50,and apply the division lemma to get
76 = 50 x 1 + 26
We consider the new divisor 50 and the new remainder 26,and apply the division lemma to get
50 = 26 x 1 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 328 and 530 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(50,26) = HCF(76,50) = HCF(126,76) = HCF(202,126) = HCF(328,202) = HCF(530,328) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10 > 2, we apply the division lemma to 10 and 2, to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 10 is 2
Notice that 2 = HCF(10,2) .
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Frequently Asked Questions on HCF of 328, 530, 10 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 328, 530, 10?
Answer: HCF of 328, 530, 10 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 328, 530, 10 using Euclid's Algorithm?
Answer: For arbitrary numbers 328, 530, 10 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.