Highest Common Factor of 251, 988, 96, 885 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 251, 988, 96, 885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 251, 988, 96, 885 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 251, 988, 96, 885 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 251, 988, 96, 885 is 1.

HCF(251, 988, 96, 885) = 1

HCF of 251, 988, 96, 885 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 251, 988, 96, 885 is 1.

Highest Common Factor of 251,988,96,885 using Euclid's algorithm

Highest Common Factor of 251,988,96,885 is 1

Step 1: Since 988 > 251, we apply the division lemma to 988 and 251, to get

988 = 251 x 3 + 235

Step 2: Since the reminder 251 ≠ 0, we apply division lemma to 235 and 251, to get

251 = 235 x 1 + 16

Step 3: We consider the new divisor 235 and the new remainder 16, and apply the division lemma to get

235 = 16 x 14 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 251 and 988 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(235,16) = HCF(251,235) = HCF(988,251) .

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

Step 1: Since 96 > 1, we apply the division lemma to 96 and 1, to get

96 = 1 x 96 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1

Notice that 1 = HCF(96,1) .

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

Step 1: Since 885 > 1, we apply the division lemma to 885 and 1, to get

885 = 1 x 885 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 885 is 1

Notice that 1 = HCF(885,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 251, 988, 96, 885 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 251, 988, 96, 885?

Answer: HCF of 251, 988, 96, 885 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 251, 988, 96, 885 using Euclid's Algorithm?

Answer: For arbitrary numbers 251, 988, 96, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.