Highest Common Factor of 7755, 4988, 79899 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 7755, 4988, 79899 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7755, 4988, 79899 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 7755, 4988, 79899 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 7755, 4988, 79899 is 1.

HCF(7755, 4988, 79899) = 1

HCF of 7755, 4988, 79899 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 7755, 4988, 79899 is 1.

Highest Common Factor of 7755,4988,79899 using Euclid's algorithm

Highest Common Factor of 7755,4988,79899 is 1

Step 1: Since 7755 > 4988, we apply the division lemma to 7755 and 4988, to get

7755 = 4988 x 1 + 2767

Step 2: Since the reminder 4988 ≠ 0, we apply division lemma to 2767 and 4988, to get

4988 = 2767 x 1 + 2221

Step 3: We consider the new divisor 2767 and the new remainder 2221, and apply the division lemma to get

2767 = 2221 x 1 + 546

We consider the new divisor 2221 and the new remainder 546,and apply the division lemma to get

2221 = 546 x 4 + 37

We consider the new divisor 546 and the new remainder 37,and apply the division lemma to get

546 = 37 x 14 + 28

We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get

37 = 28 x 1 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7755 and 4988 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(546,37) = HCF(2221,546) = HCF(2767,2221) = HCF(4988,2767) = HCF(7755,4988) .

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

Step 1: Since 79899 > 1, we apply the division lemma to 79899 and 1, to get

79899 = 1 x 79899 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79899 is 1

Notice that 1 = HCF(79899,1) .

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Frequently Asked Questions on HCF of 7755, 4988, 79899 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 7755, 4988, 79899?

Answer: HCF of 7755, 4988, 79899 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7755, 4988, 79899 using Euclid's Algorithm?

Answer: For arbitrary numbers 7755, 4988, 79899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.