Highest Common Factor of 7995, 5399, 11540 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 7995, 5399, 11540 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7995, 5399, 11540 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 7995, 5399, 11540 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 7995, 5399, 11540 is 1.

HCF(7995, 5399, 11540) = 1

HCF of 7995, 5399, 11540 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 7995, 5399, 11540 is 1.

Highest Common Factor of 7995,5399,11540 using Euclid's algorithm

Highest Common Factor of 7995,5399,11540 is 1

Step 1: Since 7995 > 5399, we apply the division lemma to 7995 and 5399, to get

7995 = 5399 x 1 + 2596

Step 2: Since the reminder 5399 ≠ 0, we apply division lemma to 2596 and 5399, to get

5399 = 2596 x 2 + 207

Step 3: We consider the new divisor 2596 and the new remainder 207, and apply the division lemma to get

2596 = 207 x 12 + 112

We consider the new divisor 207 and the new remainder 112,and apply the division lemma to get

207 = 112 x 1 + 95

We consider the new divisor 112 and the new remainder 95,and apply the division lemma to get

112 = 95 x 1 + 17

We consider the new divisor 95 and the new remainder 17,and apply the division lemma to get

95 = 17 x 5 + 10

We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get

17 = 10 x 1 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7995 and 5399 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(95,17) = HCF(112,95) = HCF(207,112) = HCF(2596,207) = HCF(5399,2596) = HCF(7995,5399) .

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

Step 1: Since 11540 > 1, we apply the division lemma to 11540 and 1, to get

11540 = 1 x 11540 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11540 is 1

Notice that 1 = HCF(11540,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7995, 5399, 11540 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 7995, 5399, 11540?

Answer: HCF of 7995, 5399, 11540 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7995, 5399, 11540 using Euclid's Algorithm?

Answer: For arbitrary numbers 7995, 5399, 11540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.