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 596, 865, 321, 552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 865, 321, 552 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 596, 865, 321, 552 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 596, 865, 321, 552 is 1.
HCF(596, 865, 321, 552) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 865, 321, 552 is 1.
Step 1: Since 865 > 596, we apply the division lemma to 865 and 596, to get
865 = 596 x 1 + 269
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 269 and 596, to get
596 = 269 x 2 + 58
Step 3: We consider the new divisor 269 and the new remainder 58, and apply the division lemma to get
269 = 58 x 4 + 37
We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get
58 = 37 x 1 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 596 and 865 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(269,58) = HCF(596,269) = HCF(865,596) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 321 > 1, we apply the division lemma to 321 and 1, to get
321 = 1 x 321 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 321 is 1
Notice that 1 = HCF(321,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 552 > 1, we apply the division lemma to 552 and 1, to get
552 = 1 x 552 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 552 is 1
Notice that 1 = HCF(552,1) .
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 596, 865, 321, 552?
Answer: HCF of 596, 865, 321, 552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 865, 321, 552 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 865, 321, 552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.