Highest Common Factor of 7093, 5978, 64245 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 7093, 5978, 64245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7093, 5978, 64245 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 7093, 5978, 64245 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 7093, 5978, 64245 is 1.

HCF(7093, 5978, 64245) = 1

HCF of 7093, 5978, 64245 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 7093, 5978, 64245 is 1.

Highest Common Factor of 7093,5978,64245 using Euclid's algorithm

Highest Common Factor of 7093,5978,64245 is 1

Step 1: Since 7093 > 5978, we apply the division lemma to 7093 and 5978, to get

7093 = 5978 x 1 + 1115

Step 2: Since the reminder 5978 ≠ 0, we apply division lemma to 1115 and 5978, to get

5978 = 1115 x 5 + 403

Step 3: We consider the new divisor 1115 and the new remainder 403, and apply the division lemma to get

1115 = 403 x 2 + 309

We consider the new divisor 403 and the new remainder 309,and apply the division lemma to get

403 = 309 x 1 + 94

We consider the new divisor 309 and the new remainder 94,and apply the division lemma to get

309 = 94 x 3 + 27

We consider the new divisor 94 and the new remainder 27,and apply the division lemma to get

94 = 27 x 3 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7093 and 5978 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(94,27) = HCF(309,94) = HCF(403,309) = HCF(1115,403) = HCF(5978,1115) = HCF(7093,5978) .

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

Step 1: Since 64245 > 1, we apply the division lemma to 64245 and 1, to get

64245 = 1 x 64245 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64245 is 1

Notice that 1 = HCF(64245,1) .

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Frequently Asked Questions on HCF of 7093, 5978, 64245 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 7093, 5978, 64245?

Answer: HCF of 7093, 5978, 64245 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7093, 5978, 64245 using Euclid's Algorithm?

Answer: For arbitrary numbers 7093, 5978, 64245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.