Highest Common Factor of 3544, 9250 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 3544, 9250 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3544, 9250 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 3544, 9250 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 3544, 9250 is 2.

HCF(3544, 9250) = 2

HCF of 3544, 9250 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 3544, 9250 is 2.

Highest Common Factor of 3544,9250 using Euclid's algorithm

Highest Common Factor of 3544,9250 is 2

Step 1: Since 9250 > 3544, we apply the division lemma to 9250 and 3544, to get

9250 = 3544 x 2 + 2162

Step 2: Since the reminder 3544 ≠ 0, we apply division lemma to 2162 and 3544, to get

3544 = 2162 x 1 + 1382

Step 3: We consider the new divisor 2162 and the new remainder 1382, and apply the division lemma to get

2162 = 1382 x 1 + 780

We consider the new divisor 1382 and the new remainder 780,and apply the division lemma to get

1382 = 780 x 1 + 602

We consider the new divisor 780 and the new remainder 602,and apply the division lemma to get

780 = 602 x 1 + 178

We consider the new divisor 602 and the new remainder 178,and apply the division lemma to get

602 = 178 x 3 + 68

We consider the new divisor 178 and the new remainder 68,and apply the division lemma to get

178 = 68 x 2 + 42

We consider the new divisor 68 and the new remainder 42,and apply the division lemma to get

68 = 42 x 1 + 26

We consider the new divisor 42 and the new remainder 26,and apply the division lemma to get

42 = 26 x 1 + 16

We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get

26 = 16 x 1 + 10

We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get

16 = 10 x 1 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 3544 and 9250 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(42,26) = HCF(68,42) = HCF(178,68) = HCF(602,178) = HCF(780,602) = HCF(1382,780) = HCF(2162,1382) = HCF(3544,2162) = HCF(9250,3544) .

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Frequently Asked Questions on HCF of 3544, 9250 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 3544, 9250?

Answer: HCF of 3544, 9250 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3544, 9250 using Euclid's Algorithm?

Answer: For arbitrary numbers 3544, 9250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.