Highest Common Factor of 7808, 2771, 19530 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 7808, 2771, 19530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7808, 2771, 19530 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 7808, 2771, 19530 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 7808, 2771, 19530 is 1.

HCF(7808, 2771, 19530) = 1

HCF of 7808, 2771, 19530 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 7808, 2771, 19530 is 1.

Highest Common Factor of 7808,2771,19530 using Euclid's algorithm

Highest Common Factor of 7808,2771,19530 is 1

Step 1: Since 7808 > 2771, we apply the division lemma to 7808 and 2771, to get

7808 = 2771 x 2 + 2266

Step 2: Since the reminder 2771 ≠ 0, we apply division lemma to 2266 and 2771, to get

2771 = 2266 x 1 + 505

Step 3: We consider the new divisor 2266 and the new remainder 505, and apply the division lemma to get

2266 = 505 x 4 + 246

We consider the new divisor 505 and the new remainder 246,and apply the division lemma to get

505 = 246 x 2 + 13

We consider the new divisor 246 and the new remainder 13,and apply the division lemma to get

246 = 13 x 18 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7808 and 2771 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(246,13) = HCF(505,246) = HCF(2266,505) = HCF(2771,2266) = HCF(7808,2771) .

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

Step 1: Since 19530 > 1, we apply the division lemma to 19530 and 1, to get

19530 = 1 x 19530 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19530 is 1

Notice that 1 = HCF(19530,1) .

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Frequently Asked Questions on HCF of 7808, 2771, 19530 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 7808, 2771, 19530?

Answer: HCF of 7808, 2771, 19530 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7808, 2771, 19530 using Euclid's Algorithm?

Answer: For arbitrary numbers 7808, 2771, 19530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.