Highest Common Factor of 609, 373, 273 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 609, 373, 273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 609, 373, 273 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 609, 373, 273 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 609, 373, 273 is 1.

HCF(609, 373, 273) = 1

HCF of 609, 373, 273 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 609, 373, 273 is 1.

Highest Common Factor of 609,373,273 using Euclid's algorithm

Highest Common Factor of 609,373,273 is 1

Step 1: Since 609 > 373, we apply the division lemma to 609 and 373, to get

609 = 373 x 1 + 236

Step 2: Since the reminder 373 ≠ 0, we apply division lemma to 236 and 373, to get

373 = 236 x 1 + 137

Step 3: We consider the new divisor 236 and the new remainder 137, and apply the division lemma to get

236 = 137 x 1 + 99

We consider the new divisor 137 and the new remainder 99,and apply the division lemma to get

137 = 99 x 1 + 38

We consider the new divisor 99 and the new remainder 38,and apply the division lemma to get

99 = 38 x 2 + 23

We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get

38 = 23 x 1 + 15

We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get

23 = 15 x 1 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 609 and 373 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(99,38) = HCF(137,99) = HCF(236,137) = HCF(373,236) = HCF(609,373) .

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

Step 1: Since 273 > 1, we apply the division lemma to 273 and 1, to get

273 = 1 x 273 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 273 is 1

Notice that 1 = HCF(273,1) .

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Frequently Asked Questions on HCF of 609, 373, 273 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 609, 373, 273?

Answer: HCF of 609, 373, 273 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 609, 373, 273 using Euclid's Algorithm?

Answer: For arbitrary numbers 609, 373, 273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.