Highest Common Factor of 88, 11, 555, 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 88, 11, 555, 404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 88, 11, 555, 404 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 88, 11, 555, 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 88, 11, 555, 404 is 1.

HCF(88, 11, 555, 404) = 1

HCF of 88, 11, 555, 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 88, 11, 555, 404 is 1.

Highest Common Factor of 88,11,555,404 using Euclid's algorithm

Highest Common Factor of 88,11,555,404 is 1

Step 1: Since 88 > 11, we apply the division lemma to 88 and 11, to get

88 = 11 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 88 and 11 is 11

Notice that 11 = HCF(88,11) .


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

Step 1: Since 555 > 11, we apply the division lemma to 555 and 11, to get

555 = 11 x 50 + 5

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 5 and 11, to get

11 = 5 x 2 + 1

Step 3: 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 11 and 555 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(555,11) .


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

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

404 = 1 x 404 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 404 is 1

Notice that 1 = HCF(404,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 88, 11, 555, 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 88, 11, 555, 404?

Answer: HCF of 88, 11, 555, 404 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 88, 11, 555, 404 using Euclid's Algorithm?

Answer: For arbitrary numbers 88, 11, 555, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.