Highest Common Factor of 7787, 5655, 29755 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 7787, 5655, 29755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7787, 5655, 29755 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 7787, 5655, 29755 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 7787, 5655, 29755 is 1.

HCF(7787, 5655, 29755) = 1

HCF of 7787, 5655, 29755 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 7787, 5655, 29755 is 1.

Highest Common Factor of 7787,5655,29755 using Euclid's algorithm

Highest Common Factor of 7787,5655,29755 is 1

Step 1: Since 7787 > 5655, we apply the division lemma to 7787 and 5655, to get

7787 = 5655 x 1 + 2132

Step 2: Since the reminder 5655 ≠ 0, we apply division lemma to 2132 and 5655, to get

5655 = 2132 x 2 + 1391

Step 3: We consider the new divisor 2132 and the new remainder 1391, and apply the division lemma to get

2132 = 1391 x 1 + 741

We consider the new divisor 1391 and the new remainder 741,and apply the division lemma to get

1391 = 741 x 1 + 650

We consider the new divisor 741 and the new remainder 650,and apply the division lemma to get

741 = 650 x 1 + 91

We consider the new divisor 650 and the new remainder 91,and apply the division lemma to get

650 = 91 x 7 + 13

We consider the new divisor 91 and the new remainder 13,and apply the division lemma to get

91 = 13 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 7787 and 5655 is 13

Notice that 13 = HCF(91,13) = HCF(650,91) = HCF(741,650) = HCF(1391,741) = HCF(2132,1391) = HCF(5655,2132) = HCF(7787,5655) .

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

Step 1: Since 29755 > 13, we apply the division lemma to 29755 and 13, to get

29755 = 13 x 2288 + 11

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get

13 = 11 x 1 + 2

Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get

11 = 2 x 5 + 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 13 and 29755 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(29755,13) .

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Frequently Asked Questions on HCF of 7787, 5655, 29755 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 7787, 5655, 29755?

Answer: HCF of 7787, 5655, 29755 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7787, 5655, 29755 using Euclid's Algorithm?

Answer: For arbitrary numbers 7787, 5655, 29755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.