Highest Common Factor of 7184, 5650, 64685 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 7184, 5650, 64685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7184, 5650, 64685 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 7184, 5650, 64685 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 7184, 5650, 64685 is 1.

HCF(7184, 5650, 64685) = 1

HCF of 7184, 5650, 64685 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 7184, 5650, 64685 is 1.

Highest Common Factor of 7184,5650,64685 using Euclid's algorithm

Highest Common Factor of 7184,5650,64685 is 1

Step 1: Since 7184 > 5650, we apply the division lemma to 7184 and 5650, to get

7184 = 5650 x 1 + 1534

Step 2: Since the reminder 5650 ≠ 0, we apply division lemma to 1534 and 5650, to get

5650 = 1534 x 3 + 1048

Step 3: We consider the new divisor 1534 and the new remainder 1048, and apply the division lemma to get

1534 = 1048 x 1 + 486

We consider the new divisor 1048 and the new remainder 486,and apply the division lemma to get

1048 = 486 x 2 + 76

We consider the new divisor 486 and the new remainder 76,and apply the division lemma to get

486 = 76 x 6 + 30

We consider the new divisor 76 and the new remainder 30,and apply the division lemma to get

76 = 30 x 2 + 16

We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get

30 = 16 x 1 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7184 and 5650 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(76,30) = HCF(486,76) = HCF(1048,486) = HCF(1534,1048) = HCF(5650,1534) = HCF(7184,5650) .

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

Step 1: Since 64685 > 2, we apply the division lemma to 64685 and 2, to get

64685 = 2 x 32342 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 64685 is 1

Notice that 1 = HCF(2,1) = HCF(64685,2) .

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Frequently Asked Questions on HCF of 7184, 5650, 64685 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 7184, 5650, 64685?

Answer: HCF of 7184, 5650, 64685 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7184, 5650, 64685 using Euclid's Algorithm?

Answer: For arbitrary numbers 7184, 5650, 64685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.