Highest Common Factor of 1492, 6496, 14907 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 1492, 6496, 14907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1492, 6496, 14907 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 1492, 6496, 14907 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 1492, 6496, 14907 is 1.

HCF(1492, 6496, 14907) = 1

HCF of 1492, 6496, 14907 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 1492, 6496, 14907 is 1.

Highest Common Factor of 1492,6496,14907 using Euclid's algorithm

Highest Common Factor of 1492,6496,14907 is 1

Step 1: Since 6496 > 1492, we apply the division lemma to 6496 and 1492, to get

6496 = 1492 x 4 + 528

Step 2: Since the reminder 1492 ≠ 0, we apply division lemma to 528 and 1492, to get

1492 = 528 x 2 + 436

Step 3: We consider the new divisor 528 and the new remainder 436, and apply the division lemma to get

528 = 436 x 1 + 92

We consider the new divisor 436 and the new remainder 92,and apply the division lemma to get

436 = 92 x 4 + 68

We consider the new divisor 92 and the new remainder 68,and apply the division lemma to get

92 = 68 x 1 + 24

We consider the new divisor 68 and the new remainder 24,and apply the division lemma to get

68 = 24 x 2 + 20

We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get

24 = 20 x 1 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1492 and 6496 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(68,24) = HCF(92,68) = HCF(436,92) = HCF(528,436) = HCF(1492,528) = HCF(6496,1492) .

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

Step 1: Since 14907 > 4, we apply the division lemma to 14907 and 4, to get

14907 = 4 x 3726 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: 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 4 and 14907 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(14907,4) .

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Frequently Asked Questions on HCF of 1492, 6496, 14907 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 1492, 6496, 14907?

Answer: HCF of 1492, 6496, 14907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1492, 6496, 14907 using Euclid's Algorithm?

Answer: For arbitrary numbers 1492, 6496, 14907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.