Highest Common Factor of 8855, 4355 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 8855, 4355 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 8855, 4355 is 5 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 8855, 4355 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 8855, 4355 is 5.

HCF(8855, 4355) = 5

HCF of 8855, 4355 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 8855, 4355 is 5.

Highest Common Factor of 8855,4355 using Euclid's algorithm

Highest Common Factor of 8855,4355 is 5

Step 1: Since 8855 > 4355, we apply the division lemma to 8855 and 4355, to get

8855 = 4355 x 2 + 145

Step 2: Since the reminder 4355 ≠ 0, we apply division lemma to 145 and 4355, to get

4355 = 145 x 30 + 5

Step 3: We consider the new divisor 145 and the new remainder 5, and apply the division lemma to get

145 = 5 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8855 and 4355 is 5

Notice that 5 = HCF(145,5) = HCF(4355,145) = HCF(8855,4355) .

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Frequently Asked Questions on HCF of 8855, 4355 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 8855, 4355?

Answer: HCF of 8855, 4355 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8855, 4355 using Euclid's Algorithm?

Answer: For arbitrary numbers 8855, 4355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.