Highest Common Factor of 594, 918, 364 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 594, 918, 364 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 918, 364 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, 918, 364 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, 918, 364 is 2.
HCF(594, 918, 364) = 2
HCF of 594, 918, 364 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 918, 364 is 2.
Highest Common Factor of 594,918,364 is 2
Step 1: Since 918 > 594, we apply the division lemma to 918 and 594, to get
918 = 594 x 1 + 324
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 324 and 594, to get
594 = 324 x 1 + 270
Step 3: We consider the new divisor 324 and the new remainder 270, and apply the division lemma to get
324 = 270 x 1 + 54
We consider the new divisor 270 and the new remainder 54, and apply the division lemma to get
270 = 54 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 54, the HCF of 594 and 918 is 54
Notice that 54 = HCF(270,54) = HCF(324,270) = HCF(594,324) = HCF(918,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 364 > 54, we apply the division lemma to 364 and 54, to get
364 = 54 x 6 + 40
Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 40 and 54, to get
54 = 40 x 1 + 14
Step 3: We consider the new divisor 40 and the new remainder 14, and apply the division lemma to get
40 = 14 x 2 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 54 and 364 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(40,14) = HCF(54,40) = HCF(364,54) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 594, 918, 364 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 594, 918, 364?
Answer: HCF of 594, 918, 364 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 918, 364 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 918, 364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.