Highest Common Factor of 1183, 7978, 91631 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 1183, 7978, 91631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1183, 7978, 91631 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 1183, 7978, 91631 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 1183, 7978, 91631 is 1.

HCF(1183, 7978, 91631) = 1

HCF of 1183, 7978, 91631 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 1183, 7978, 91631 is 1.

Highest Common Factor of 1183,7978,91631 using Euclid's algorithm

Highest Common Factor of 1183,7978,91631 is 1

Step 1: Since 7978 > 1183, we apply the division lemma to 7978 and 1183, to get

7978 = 1183 x 6 + 880

Step 2: Since the reminder 1183 ≠ 0, we apply division lemma to 880 and 1183, to get

1183 = 880 x 1 + 303

Step 3: We consider the new divisor 880 and the new remainder 303, and apply the division lemma to get

880 = 303 x 2 + 274

We consider the new divisor 303 and the new remainder 274,and apply the division lemma to get

303 = 274 x 1 + 29

We consider the new divisor 274 and the new remainder 29,and apply the division lemma to get

274 = 29 x 9 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 1183 and 7978 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(274,29) = HCF(303,274) = HCF(880,303) = HCF(1183,880) = HCF(7978,1183) .

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

Step 1: Since 91631 > 1, we apply the division lemma to 91631 and 1, to get

91631 = 1 x 91631 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91631 is 1

Notice that 1 = HCF(91631,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 1183, 7978, 91631 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 1183, 7978, 91631?

Answer: HCF of 1183, 7978, 91631 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1183, 7978, 91631 using Euclid's Algorithm?

Answer: For arbitrary numbers 1183, 7978, 91631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.