Highest Common Factor of 653, 424, 217, 494 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 653, 424, 217, 494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 653, 424, 217, 494 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 653, 424, 217, 494 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 653, 424, 217, 494 is 1.

HCF(653, 424, 217, 494) = 1

HCF of 653, 424, 217, 494 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 653, 424, 217, 494 is 1.

Highest Common Factor of 653,424,217,494 using Euclid's algorithm

Highest Common Factor of 653,424,217,494 is 1

Step 1: Since 653 > 424, we apply the division lemma to 653 and 424, to get

653 = 424 x 1 + 229

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 229 and 424, to get

424 = 229 x 1 + 195

Step 3: We consider the new divisor 229 and the new remainder 195, and apply the division lemma to get

229 = 195 x 1 + 34

We consider the new divisor 195 and the new remainder 34,and apply the division lemma to get

195 = 34 x 5 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 653 and 424 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(195,34) = HCF(229,195) = HCF(424,229) = HCF(653,424) .

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

Step 1: Since 217 > 1, we apply the division lemma to 217 and 1, to get

217 = 1 x 217 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 217 is 1

Notice that 1 = HCF(217,1) .

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

Step 1: Since 494 > 1, we apply the division lemma to 494 and 1, to get

494 = 1 x 494 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 494 is 1

Notice that 1 = HCF(494,1) .

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Frequently Asked Questions on HCF of 653, 424, 217, 494 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 653, 424, 217, 494?

Answer: HCF of 653, 424, 217, 494 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 653, 424, 217, 494 using Euclid's Algorithm?

Answer: For arbitrary numbers 653, 424, 217, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.