Highest Common Factor of 7284, 4274 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 7284, 4274 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 7284, 4274 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 7284, 4274 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 7284, 4274 is 2.

HCF(7284, 4274) = 2

HCF of 7284, 4274 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 7284, 4274 is 2.

Highest Common Factor of 7284,4274 using Euclid's algorithm

Highest Common Factor of 7284,4274 is 2

Step 1: Since 7284 > 4274, we apply the division lemma to 7284 and 4274, to get

7284 = 4274 x 1 + 3010

Step 2: Since the reminder 4274 ≠ 0, we apply division lemma to 3010 and 4274, to get

4274 = 3010 x 1 + 1264

Step 3: We consider the new divisor 3010 and the new remainder 1264, and apply the division lemma to get

3010 = 1264 x 2 + 482

We consider the new divisor 1264 and the new remainder 482,and apply the division lemma to get

1264 = 482 x 2 + 300

We consider the new divisor 482 and the new remainder 300,and apply the division lemma to get

482 = 300 x 1 + 182

We consider the new divisor 300 and the new remainder 182,and apply the division lemma to get

300 = 182 x 1 + 118

We consider the new divisor 182 and the new remainder 118,and apply the division lemma to get

182 = 118 x 1 + 64

We consider the new divisor 118 and the new remainder 64,and apply the division lemma to get

118 = 64 x 1 + 54

We consider the new divisor 64 and the new remainder 54,and apply the division lemma to get

64 = 54 x 1 + 10

We consider the new divisor 54 and the new remainder 10,and apply the division lemma to get

54 = 10 x 5 + 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 7284 and 4274 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(54,10) = HCF(64,54) = HCF(118,64) = HCF(182,118) = HCF(300,182) = HCF(482,300) = HCF(1264,482) = HCF(3010,1264) = HCF(4274,3010) = HCF(7284,4274) .

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Frequently Asked Questions on HCF of 7284, 4274 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 7284, 4274?

Answer: HCF of 7284, 4274 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7284, 4274 using Euclid's Algorithm?

Answer: For arbitrary numbers 7284, 4274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.