Highest Common Factor of 2729, 1551, 10720 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 2729, 1551, 10720 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2729, 1551, 10720 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 2729, 1551, 10720 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 2729, 1551, 10720 is 1.

HCF(2729, 1551, 10720) = 1

HCF of 2729, 1551, 10720 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 2729, 1551, 10720 is 1.

Highest Common Factor of 2729,1551,10720 using Euclid's algorithm

Highest Common Factor of 2729,1551,10720 is 1

Step 1: Since 2729 > 1551, we apply the division lemma to 2729 and 1551, to get

2729 = 1551 x 1 + 1178

Step 2: Since the reminder 1551 ≠ 0, we apply division lemma to 1178 and 1551, to get

1551 = 1178 x 1 + 373

Step 3: We consider the new divisor 1178 and the new remainder 373, and apply the division lemma to get

1178 = 373 x 3 + 59

We consider the new divisor 373 and the new remainder 59,and apply the division lemma to get

373 = 59 x 6 + 19

We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get

59 = 19 x 3 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 2729 and 1551 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(373,59) = HCF(1178,373) = HCF(1551,1178) = HCF(2729,1551) .

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

Step 1: Since 10720 > 1, we apply the division lemma to 10720 and 1, to get

10720 = 1 x 10720 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10720 is 1

Notice that 1 = HCF(10720,1) .

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Frequently Asked Questions on HCF of 2729, 1551, 10720 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 2729, 1551, 10720?

Answer: HCF of 2729, 1551, 10720 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2729, 1551, 10720 using Euclid's Algorithm?

Answer: For arbitrary numbers 2729, 1551, 10720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.