Highest Common Factor of 8940, 7517, 49458 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 8940, 7517, 49458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8940, 7517, 49458 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 8940, 7517, 49458 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 8940, 7517, 49458 is 1.

HCF(8940, 7517, 49458) = 1

HCF of 8940, 7517, 49458 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 8940, 7517, 49458 is 1.

Highest Common Factor of 8940,7517,49458 using Euclid's algorithm

Highest Common Factor of 8940,7517,49458 is 1

Step 1: Since 8940 > 7517, we apply the division lemma to 8940 and 7517, to get

8940 = 7517 x 1 + 1423

Step 2: Since the reminder 7517 ≠ 0, we apply division lemma to 1423 and 7517, to get

7517 = 1423 x 5 + 402

Step 3: We consider the new divisor 1423 and the new remainder 402, and apply the division lemma to get

1423 = 402 x 3 + 217

We consider the new divisor 402 and the new remainder 217,and apply the division lemma to get

402 = 217 x 1 + 185

We consider the new divisor 217 and the new remainder 185,and apply the division lemma to get

217 = 185 x 1 + 32

We consider the new divisor 185 and the new remainder 32,and apply the division lemma to get

185 = 32 x 5 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 8940 and 7517 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(185,32) = HCF(217,185) = HCF(402,217) = HCF(1423,402) = HCF(7517,1423) = HCF(8940,7517) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 49458 > 1, we apply the division lemma to 49458 and 1, to get

49458 = 1 x 49458 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49458 is 1

Notice that 1 = HCF(49458,1) .

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Frequently Asked Questions on HCF of 8940, 7517, 49458 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 8940, 7517, 49458?

Answer: HCF of 8940, 7517, 49458 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8940, 7517, 49458 using Euclid's Algorithm?

Answer: For arbitrary numbers 8940, 7517, 49458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.