Highest Common Factor of 8488, 9775 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 8488, 9775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8488, 9775 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 8488, 9775 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 8488, 9775 is 1.

HCF(8488, 9775) = 1

HCF of 8488, 9775 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 8488, 9775 is 1.

Highest Common Factor of 8488,9775 using Euclid's algorithm

Highest Common Factor of 8488,9775 is 1

Step 1: Since 9775 > 8488, we apply the division lemma to 9775 and 8488, to get

9775 = 8488 x 1 + 1287

Step 2: Since the reminder 8488 ≠ 0, we apply division lemma to 1287 and 8488, to get

8488 = 1287 x 6 + 766

Step 3: We consider the new divisor 1287 and the new remainder 766, and apply the division lemma to get

1287 = 766 x 1 + 521

We consider the new divisor 766 and the new remainder 521,and apply the division lemma to get

766 = 521 x 1 + 245

We consider the new divisor 521 and the new remainder 245,and apply the division lemma to get

521 = 245 x 2 + 31

We consider the new divisor 245 and the new remainder 31,and apply the division lemma to get

245 = 31 x 7 + 28

We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get

31 = 28 x 1 + 3

We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get

28 = 3 x 9 + 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 8488 and 9775 is 1

Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(245,31) = HCF(521,245) = HCF(766,521) = HCF(1287,766) = HCF(8488,1287) = HCF(9775,8488) .

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Frequently Asked Questions on HCF of 8488, 9775 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 8488, 9775?

Answer: HCF of 8488, 9775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8488, 9775 using Euclid's Algorithm?

Answer: For arbitrary numbers 8488, 9775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.