Highest Common Factor of 3528, 9244 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 3528, 9244 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 3528, 9244 is 4 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 3528, 9244 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 3528, 9244 is 4.

HCF(3528, 9244) = 4

HCF of 3528, 9244 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 3528, 9244 is 4.

Highest Common Factor of 3528,9244 using Euclid's algorithm

Highest Common Factor of 3528,9244 is 4

Step 1: Since 9244 > 3528, we apply the division lemma to 9244 and 3528, to get

9244 = 3528 x 2 + 2188

Step 2: Since the reminder 3528 ≠ 0, we apply division lemma to 2188 and 3528, to get

3528 = 2188 x 1 + 1340

Step 3: We consider the new divisor 2188 and the new remainder 1340, and apply the division lemma to get

2188 = 1340 x 1 + 848

We consider the new divisor 1340 and the new remainder 848,and apply the division lemma to get

1340 = 848 x 1 + 492

We consider the new divisor 848 and the new remainder 492,and apply the division lemma to get

848 = 492 x 1 + 356

We consider the new divisor 492 and the new remainder 356,and apply the division lemma to get

492 = 356 x 1 + 136

We consider the new divisor 356 and the new remainder 136,and apply the division lemma to get

356 = 136 x 2 + 84

We consider the new divisor 136 and the new remainder 84,and apply the division lemma to get

136 = 84 x 1 + 52

We consider the new divisor 84 and the new remainder 52,and apply the division lemma to get

84 = 52 x 1 + 32

We consider the new divisor 52 and the new remainder 32,and apply the division lemma to get

52 = 32 x 1 + 20

We consider the new divisor 32 and the new remainder 20,and apply the division lemma to get

32 = 20 x 1 + 12

We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get

20 = 12 x 1 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3528 and 9244 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(32,20) = HCF(52,32) = HCF(84,52) = HCF(136,84) = HCF(356,136) = HCF(492,356) = HCF(848,492) = HCF(1340,848) = HCF(2188,1340) = HCF(3528,2188) = HCF(9244,3528) .

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Frequently Asked Questions on HCF of 3528, 9244 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 3528, 9244?

Answer: HCF of 3528, 9244 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3528, 9244 using Euclid's Algorithm?

Answer: For arbitrary numbers 3528, 9244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.