Highest Common Factor of 7509, 1127, 27016 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 7509, 1127, 27016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7509, 1127, 27016 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 7509, 1127, 27016 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 7509, 1127, 27016 is 1.

HCF(7509, 1127, 27016) = 1

HCF of 7509, 1127, 27016 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 7509, 1127, 27016 is 1.

Highest Common Factor of 7509,1127,27016 using Euclid's algorithm

Highest Common Factor of 7509,1127,27016 is 1

Step 1: Since 7509 > 1127, we apply the division lemma to 7509 and 1127, to get

7509 = 1127 x 6 + 747

Step 2: Since the reminder 1127 ≠ 0, we apply division lemma to 747 and 1127, to get

1127 = 747 x 1 + 380

Step 3: We consider the new divisor 747 and the new remainder 380, and apply the division lemma to get

747 = 380 x 1 + 367

We consider the new divisor 380 and the new remainder 367,and apply the division lemma to get

380 = 367 x 1 + 13

We consider the new divisor 367 and the new remainder 13,and apply the division lemma to get

367 = 13 x 28 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 7509 and 1127 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(367,13) = HCF(380,367) = HCF(747,380) = HCF(1127,747) = HCF(7509,1127) .

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

Step 1: Since 27016 > 1, we apply the division lemma to 27016 and 1, to get

27016 = 1 x 27016 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 27016 is 1

Notice that 1 = HCF(27016,1) .

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Frequently Asked Questions on HCF of 7509, 1127, 27016 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 7509, 1127, 27016?

Answer: HCF of 7509, 1127, 27016 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7509, 1127, 27016 using Euclid's Algorithm?

Answer: For arbitrary numbers 7509, 1127, 27016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.