Highest Common Factor of 8250, 9236 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 8250, 9236 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 8250, 9236 is 2 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 8250, 9236 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 8250, 9236 is 2.

HCF(8250, 9236) = 2

HCF of 8250, 9236 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 8250, 9236 is 2.

Highest Common Factor of 8250,9236 using Euclid's algorithm

Highest Common Factor of 8250,9236 is 2

Step 1: Since 9236 > 8250, we apply the division lemma to 9236 and 8250, to get

9236 = 8250 x 1 + 986

Step 2: Since the reminder 8250 ≠ 0, we apply division lemma to 986 and 8250, to get

8250 = 986 x 8 + 362

Step 3: We consider the new divisor 986 and the new remainder 362, and apply the division lemma to get

986 = 362 x 2 + 262

We consider the new divisor 362 and the new remainder 262,and apply the division lemma to get

362 = 262 x 1 + 100

We consider the new divisor 262 and the new remainder 100,and apply the division lemma to get

262 = 100 x 2 + 62

We consider the new divisor 100 and the new remainder 62,and apply the division lemma to get

100 = 62 x 1 + 38

We consider the new divisor 62 and the new remainder 38,and apply the division lemma to get

62 = 38 x 1 + 24

We consider the new divisor 38 and the new remainder 24,and apply the division lemma to get

38 = 24 x 1 + 14

We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get

24 = 14 x 1 + 10

We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8250 and 9236 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(38,24) = HCF(62,38) = HCF(100,62) = HCF(262,100) = HCF(362,262) = HCF(986,362) = HCF(8250,986) = HCF(9236,8250) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8250, 9236 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 8250, 9236?

Answer: HCF of 8250, 9236 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8250, 9236 using Euclid's Algorithm?

Answer: For arbitrary numbers 8250, 9236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.