Highest Common Factor of 7697, 2980, 20799 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 7697, 2980, 20799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7697, 2980, 20799 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 7697, 2980, 20799 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 7697, 2980, 20799 is 1.

HCF(7697, 2980, 20799) = 1

HCF of 7697, 2980, 20799 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 7697, 2980, 20799 is 1.

Highest Common Factor of 7697,2980,20799 using Euclid's algorithm

Highest Common Factor of 7697,2980,20799 is 1

Step 1: Since 7697 > 2980, we apply the division lemma to 7697 and 2980, to get

7697 = 2980 x 2 + 1737

Step 2: Since the reminder 2980 ≠ 0, we apply division lemma to 1737 and 2980, to get

2980 = 1737 x 1 + 1243

Step 3: We consider the new divisor 1737 and the new remainder 1243, and apply the division lemma to get

1737 = 1243 x 1 + 494

We consider the new divisor 1243 and the new remainder 494,and apply the division lemma to get

1243 = 494 x 2 + 255

We consider the new divisor 494 and the new remainder 255,and apply the division lemma to get

494 = 255 x 1 + 239

We consider the new divisor 255 and the new remainder 239,and apply the division lemma to get

255 = 239 x 1 + 16

We consider the new divisor 239 and the new remainder 16,and apply the division lemma to get

239 = 16 x 14 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7697 and 2980 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(239,16) = HCF(255,239) = HCF(494,255) = HCF(1243,494) = HCF(1737,1243) = HCF(2980,1737) = HCF(7697,2980) .

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

Step 1: Since 20799 > 1, we apply the division lemma to 20799 and 1, to get

20799 = 1 x 20799 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20799 is 1

Notice that 1 = HCF(20799,1) .

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Frequently Asked Questions on HCF of 7697, 2980, 20799 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 7697, 2980, 20799?

Answer: HCF of 7697, 2980, 20799 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7697, 2980, 20799 using Euclid's Algorithm?

Answer: For arbitrary numbers 7697, 2980, 20799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.