Highest Common Factor of 594, 726, 79, 219 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, 726, 79, 219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 594, 726, 79, 219 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 594, 726, 79, 219 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, 726, 79, 219 is 1.

HCF(594, 726, 79, 219) = 1

HCF of 594, 726, 79, 219 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 594, 726, 79, 219 is 1.

Highest Common Factor of 594,726,79,219 using Euclid's algorithm

Highest Common Factor of 594,726,79,219 is 1

Step 1: Since 726 > 594, we apply the division lemma to 726 and 594, to get

726 = 594 x 1 + 132

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 132 and 594, to get

594 = 132 x 4 + 66

Step 3: We consider the new divisor 132 and the new remainder 66, and apply the division lemma to get

132 = 66 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 594 and 726 is 66

Notice that 66 = HCF(132,66) = HCF(594,132) = HCF(726,594) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 79 > 66, we apply the division lemma to 79 and 66, to get

79 = 66 x 1 + 13

Step 2: Since the reminder 66 ≠ 0, we apply division lemma to 13 and 66, to get

66 = 13 x 5 + 1

Step 3: We consider the new divisor 13 and the new remainder 1, and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 66 and 79 is 1

Notice that 1 = HCF(13,1) = HCF(66,13) = HCF(79,66) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 219 > 1, we apply the division lemma to 219 and 1, to get

219 = 1 x 219 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 219 is 1

Notice that 1 = HCF(219,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 594, 726, 79, 219 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, 726, 79, 219?

Answer: HCF of 594, 726, 79, 219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 594, 726, 79, 219 using Euclid's Algorithm?

Answer: For arbitrary numbers 594, 726, 79, 219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.