# Highest Common Factor of 96, 404 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 96, 404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 96, 404 is 4 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 96, 404 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 96, 404 is 4.

HCF(96, 404) = 4

## HCF of 96, 404 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 96, 404 is 4. ### Highest Common Factor of 96,404 is 4

Step 1: Since 404 > 96, we apply the division lemma to 404 and 96, to get

404 = 96 x 4 + 20

Step 2: Since the reminder 96 ≠ 0, we apply division lemma to 20 and 96, to get

96 = 20 x 4 + 16

Step 3: We consider the new divisor 20 and the new remainder 16, and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4, and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 96 and 404 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(96,20) = HCF(404,96) .

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### Frequently Asked Questions on HCF of 96, 404 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 96, 404?

Answer: HCF of 96, 404 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 96, 404 using Euclid's Algorithm?

Answer: For arbitrary numbers 96, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.