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 594, 806, 418 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 806, 418 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 594, 806, 418 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 594, 806, 418 is 2.
HCF(594, 806, 418) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 806, 418 is 2.
Step 1: Since 806 > 594, we apply the division lemma to 806 and 594, to get
806 = 594 x 1 + 212
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 212 and 594, to get
594 = 212 x 2 + 170
Step 3: We consider the new divisor 212 and the new remainder 170, and apply the division lemma to get
212 = 170 x 1 + 42
We consider the new divisor 170 and the new remainder 42,and apply the division lemma to get
170 = 42 x 4 + 2
We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 594 and 806 is 2
Notice that 2 = HCF(42,2) = HCF(170,42) = HCF(212,170) = HCF(594,212) = HCF(806,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 418 > 2, we apply the division lemma to 418 and 2, to get
418 = 2 x 209 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 418 is 2
Notice that 2 = HCF(418,2) .
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 594, 806, 418?
Answer: HCF of 594, 806, 418 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 806, 418 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 806, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.