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 843, 545, 573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 843, 545, 573 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 843, 545, 573 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 843, 545, 573 is 1.
HCF(843, 545, 573) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 843, 545, 573 is 1.
Step 1: Since 843 > 545, we apply the division lemma to 843 and 545, to get
843 = 545 x 1 + 298
Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 298 and 545, to get
545 = 298 x 1 + 247
Step 3: We consider the new divisor 298 and the new remainder 247, and apply the division lemma to get
298 = 247 x 1 + 51
We consider the new divisor 247 and the new remainder 51,and apply the division lemma to get
247 = 51 x 4 + 43
We consider the new divisor 51 and the new remainder 43,and apply the division lemma to get
51 = 43 x 1 + 8
We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get
43 = 8 x 5 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 843 and 545 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(51,43) = HCF(247,51) = HCF(298,247) = HCF(545,298) = HCF(843,545) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 573 > 1, we apply the division lemma to 573 and 1, to get
573 = 1 x 573 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 573 is 1
Notice that 1 = HCF(573,1) .
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 843, 545, 573?
Answer: HCF of 843, 545, 573 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 843, 545, 573 using Euclid's Algorithm?
Answer: For arbitrary numbers 843, 545, 573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.