Highest Common Factor of 1507, 5386, 14260 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 1507, 5386, 14260 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1507, 5386, 14260 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 1507, 5386, 14260 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 1507, 5386, 14260 is 1.

HCF(1507, 5386, 14260) = 1

HCF of 1507, 5386, 14260 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 1507, 5386, 14260 is 1.

Highest Common Factor of 1507,5386,14260 using Euclid's algorithm

Highest Common Factor of 1507,5386,14260 is 1

Step 1: Since 5386 > 1507, we apply the division lemma to 5386 and 1507, to get

5386 = 1507 x 3 + 865

Step 2: Since the reminder 1507 ≠ 0, we apply division lemma to 865 and 1507, to get

1507 = 865 x 1 + 642

Step 3: We consider the new divisor 865 and the new remainder 642, and apply the division lemma to get

865 = 642 x 1 + 223

We consider the new divisor 642 and the new remainder 223,and apply the division lemma to get

642 = 223 x 2 + 196

We consider the new divisor 223 and the new remainder 196,and apply the division lemma to get

223 = 196 x 1 + 27

We consider the new divisor 196 and the new remainder 27,and apply the division lemma to get

196 = 27 x 7 + 7

We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get

27 = 7 x 3 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1507 and 5386 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(196,27) = HCF(223,196) = HCF(642,223) = HCF(865,642) = HCF(1507,865) = HCF(5386,1507) .

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

Step 1: Since 14260 > 1, we apply the division lemma to 14260 and 1, to get

14260 = 1 x 14260 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14260 is 1

Notice that 1 = HCF(14260,1) .

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Frequently Asked Questions on HCF of 1507, 5386, 14260 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 1507, 5386, 14260?

Answer: HCF of 1507, 5386, 14260 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1507, 5386, 14260 using Euclid's Algorithm?

Answer: For arbitrary numbers 1507, 5386, 14260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.