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, 573, 145, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 328, 573, 145, 53 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 328, 573, 145, 53 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, 573, 145, 53 is 1.
HCF(328, 573, 145, 53) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 328, 573, 145, 53 is 1.
Step 1: Since 573 > 328, we apply the division lemma to 573 and 328, to get
573 = 328 x 1 + 245
Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 245 and 328, to get
328 = 245 x 1 + 83
Step 3: We consider the new divisor 245 and the new remainder 83, and apply the division lemma to get
245 = 83 x 2 + 79
We consider the new divisor 83 and the new remainder 79,and apply the division lemma to get
83 = 79 x 1 + 4
We consider the new divisor 79 and the new remainder 4,and apply the division lemma to get
79 = 4 x 19 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 328 and 573 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(79,4) = HCF(83,79) = HCF(245,83) = HCF(328,245) = HCF(573,328) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 145 > 1, we apply the division lemma to 145 and 1, to get
145 = 1 x 145 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 145 is 1
Notice that 1 = HCF(145,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1
Notice that 1 = HCF(53,1) .
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 328, 573, 145, 53?
Answer: HCF of 328, 573, 145, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 328, 573, 145, 53 using Euclid's Algorithm?
Answer: For arbitrary numbers 328, 573, 145, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.