Highest Common Factor of 7915, 5689, 72243 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 7915, 5689, 72243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7915, 5689, 72243 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 7915, 5689, 72243 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 7915, 5689, 72243 is 1.

HCF(7915, 5689, 72243) = 1

HCF of 7915, 5689, 72243 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 7915, 5689, 72243 is 1.

Highest Common Factor of 7915,5689,72243 using Euclid's algorithm

Highest Common Factor of 7915,5689,72243 is 1

Step 1: Since 7915 > 5689, we apply the division lemma to 7915 and 5689, to get

7915 = 5689 x 1 + 2226

Step 2: Since the reminder 5689 ≠ 0, we apply division lemma to 2226 and 5689, to get

5689 = 2226 x 2 + 1237

Step 3: We consider the new divisor 2226 and the new remainder 1237, and apply the division lemma to get

2226 = 1237 x 1 + 989

We consider the new divisor 1237 and the new remainder 989,and apply the division lemma to get

1237 = 989 x 1 + 248

We consider the new divisor 989 and the new remainder 248,and apply the division lemma to get

989 = 248 x 3 + 245

We consider the new divisor 248 and the new remainder 245,and apply the division lemma to get

248 = 245 x 1 + 3

We consider the new divisor 245 and the new remainder 3,and apply the division lemma to get

245 = 3 x 81 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 7915 and 5689 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(245,3) = HCF(248,245) = HCF(989,248) = HCF(1237,989) = HCF(2226,1237) = HCF(5689,2226) = HCF(7915,5689) .

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

Step 1: Since 72243 > 1, we apply the division lemma to 72243 and 1, to get

72243 = 1 x 72243 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72243 is 1

Notice that 1 = HCF(72243,1) .

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Frequently Asked Questions on HCF of 7915, 5689, 72243 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 7915, 5689, 72243?

Answer: HCF of 7915, 5689, 72243 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7915, 5689, 72243 using Euclid's Algorithm?

Answer: For arbitrary numbers 7915, 5689, 72243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.