Highest Common Factor of 421, 716, 263, 396 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 421, 716, 263, 396 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 421, 716, 263, 396 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 421, 716, 263, 396 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 421, 716, 263, 396 is 1.

HCF(421, 716, 263, 396) = 1

HCF of 421, 716, 263, 396 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 421, 716, 263, 396 is 1.

Highest Common Factor of 421,716,263,396 using Euclid's algorithm

Highest Common Factor of 421,716,263,396 is 1

Step 1: Since 716 > 421, we apply the division lemma to 716 and 421, to get

716 = 421 x 1 + 295

Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 295 and 421, to get

421 = 295 x 1 + 126

Step 3: We consider the new divisor 295 and the new remainder 126, and apply the division lemma to get

295 = 126 x 2 + 43

We consider the new divisor 126 and the new remainder 43,and apply the division lemma to get

126 = 43 x 2 + 40

We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get

43 = 40 x 1 + 3

We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get

40 = 3 x 13 + 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 421 and 716 is 1

Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(126,43) = HCF(295,126) = HCF(421,295) = HCF(716,421) .

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

Step 1: Since 263 > 1, we apply the division lemma to 263 and 1, to get

263 = 1 x 263 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 263 is 1

Notice that 1 = HCF(263,1) .

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

Step 1: Since 396 > 1, we apply the division lemma to 396 and 1, to get

396 = 1 x 396 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 396 is 1

Notice that 1 = HCF(396,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 421, 716, 263, 396 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 421, 716, 263, 396?

Answer: HCF of 421, 716, 263, 396 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 421, 716, 263, 396 using Euclid's Algorithm?

Answer: For arbitrary numbers 421, 716, 263, 396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.