Highest Common Factor of 8436, 9925 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 8436, 9925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8436, 9925 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 8436, 9925 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 8436, 9925 is 1.

HCF(8436, 9925) = 1

HCF of 8436, 9925 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8436, 9925 is 1.

Highest Common Factor of 8436,9925 using Euclid's algorithm

Highest Common Factor of 8436,9925 is 1

Step 1: Since 9925 > 8436, we apply the division lemma to 9925 and 8436, to get

9925 = 8436 x 1 + 1489

Step 2: Since the reminder 8436 ≠ 0, we apply division lemma to 1489 and 8436, to get

8436 = 1489 x 5 + 991

Step 3: We consider the new divisor 1489 and the new remainder 991, and apply the division lemma to get

1489 = 991 x 1 + 498

We consider the new divisor 991 and the new remainder 498,and apply the division lemma to get

991 = 498 x 1 + 493

We consider the new divisor 498 and the new remainder 493,and apply the division lemma to get

498 = 493 x 1 + 5

We consider the new divisor 493 and the new remainder 5,and apply the division lemma to get

493 = 5 x 98 + 3

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

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8436 and 9925 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(493,5) = HCF(498,493) = HCF(991,498) = HCF(1489,991) = HCF(8436,1489) = HCF(9925,8436) .

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Frequently Asked Questions on HCF of 8436, 9925 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 8436, 9925?

Answer: HCF of 8436, 9925 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8436, 9925 using Euclid's Algorithm?

Answer: For arbitrary numbers 8436, 9925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.