Highest Common Factor of 16, 13, 954, 257 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 16, 13, 954, 257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 16, 13, 954, 257 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 16, 13, 954, 257 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 16, 13, 954, 257 is 1.

HCF(16, 13, 954, 257) = 1

HCF of 16, 13, 954, 257 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 16, 13, 954, 257 is 1.

Highest Common Factor of 16,13,954,257 using Euclid's algorithm

Highest Common Factor of 16,13,954,257 is 1

Step 1: Since 16 > 13, we apply the division lemma to 16 and 13, to get

16 = 13 x 1 + 3

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 3 and 13, to get

13 = 3 x 4 + 1

Step 3: 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 16 and 13 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) .


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

Step 1: Since 954 > 1, we apply the division lemma to 954 and 1, to get

954 = 1 x 954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 954 is 1

Notice that 1 = HCF(954,1) .


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

Step 1: Since 257 > 1, we apply the division lemma to 257 and 1, to get

257 = 1 x 257 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 257 is 1

Notice that 1 = HCF(257,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 16, 13, 954, 257 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 16, 13, 954, 257?

Answer: HCF of 16, 13, 954, 257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 16, 13, 954, 257 using Euclid's Algorithm?

Answer: For arbitrary numbers 16, 13, 954, 257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.