Highest Common Factor of 7269, 5869, 68685 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 7269, 5869, 68685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7269, 5869, 68685 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 7269, 5869, 68685 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 7269, 5869, 68685 is 1.

HCF(7269, 5869, 68685) = 1

HCF of 7269, 5869, 68685 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 7269, 5869, 68685 is 1.

Highest Common Factor of 7269,5869,68685 using Euclid's algorithm

Highest Common Factor of 7269,5869,68685 is 1

Step 1: Since 7269 > 5869, we apply the division lemma to 7269 and 5869, to get

7269 = 5869 x 1 + 1400

Step 2: Since the reminder 5869 ≠ 0, we apply division lemma to 1400 and 5869, to get

5869 = 1400 x 4 + 269

Step 3: We consider the new divisor 1400 and the new remainder 269, and apply the division lemma to get

1400 = 269 x 5 + 55

We consider the new divisor 269 and the new remainder 55,and apply the division lemma to get

269 = 55 x 4 + 49

We consider the new divisor 55 and the new remainder 49,and apply the division lemma to get

55 = 49 x 1 + 6

We consider the new divisor 49 and the new remainder 6,and apply the division lemma to get

49 = 6 x 8 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7269 and 5869 is 1

Notice that 1 = HCF(6,1) = HCF(49,6) = HCF(55,49) = HCF(269,55) = HCF(1400,269) = HCF(5869,1400) = HCF(7269,5869) .

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

Step 1: Since 68685 > 1, we apply the division lemma to 68685 and 1, to get

68685 = 1 x 68685 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68685 is 1

Notice that 1 = HCF(68685,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7269, 5869, 68685 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 7269, 5869, 68685?

Answer: HCF of 7269, 5869, 68685 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7269, 5869, 68685 using Euclid's Algorithm?

Answer: For arbitrary numbers 7269, 5869, 68685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.