Highest Common Factor of 7487, 4198 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 7487, 4198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7487, 4198 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 7487, 4198 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 7487, 4198 is 1.

HCF(7487, 4198) = 1

HCF of 7487, 4198 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 7487, 4198 is 1.

Highest Common Factor of 7487,4198 using Euclid's algorithm

Highest Common Factor of 7487,4198 is 1

Step 1: Since 7487 > 4198, we apply the division lemma to 7487 and 4198, to get

7487 = 4198 x 1 + 3289

Step 2: Since the reminder 4198 ≠ 0, we apply division lemma to 3289 and 4198, to get

4198 = 3289 x 1 + 909

Step 3: We consider the new divisor 3289 and the new remainder 909, and apply the division lemma to get

3289 = 909 x 3 + 562

We consider the new divisor 909 and the new remainder 562,and apply the division lemma to get

909 = 562 x 1 + 347

We consider the new divisor 562 and the new remainder 347,and apply the division lemma to get

562 = 347 x 1 + 215

We consider the new divisor 347 and the new remainder 215,and apply the division lemma to get

347 = 215 x 1 + 132

We consider the new divisor 215 and the new remainder 132,and apply the division lemma to get

215 = 132 x 1 + 83

We consider the new divisor 132 and the new remainder 83,and apply the division lemma to get

132 = 83 x 1 + 49

We consider the new divisor 83 and the new remainder 49,and apply the division lemma to get

83 = 49 x 1 + 34

We consider the new divisor 49 and the new remainder 34,and apply the division lemma to get

49 = 34 x 1 + 15

We consider the new divisor 34 and the new remainder 15,and apply the division lemma to get

34 = 15 x 2 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7487 and 4198 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(34,15) = HCF(49,34) = HCF(83,49) = HCF(132,83) = HCF(215,132) = HCF(347,215) = HCF(562,347) = HCF(909,562) = HCF(3289,909) = HCF(4198,3289) = HCF(7487,4198) .

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Frequently Asked Questions on HCF of 7487, 4198 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 7487, 4198?

Answer: HCF of 7487, 4198 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7487, 4198 using Euclid's Algorithm?

Answer: For arbitrary numbers 7487, 4198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.