Highest Common Factor of 247, 169, 48, 472 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 247, 169, 48, 472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 247, 169, 48, 472 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 247, 169, 48, 472 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 247, 169, 48, 472 is 1.

HCF(247, 169, 48, 472) = 1

HCF of 247, 169, 48, 472 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 247, 169, 48, 472 is 1.

Highest Common Factor of 247,169,48,472 using Euclid's algorithm

Highest Common Factor of 247,169,48,472 is 1

Step 1: Since 247 > 169, we apply the division lemma to 247 and 169, to get

247 = 169 x 1 + 78

Step 2: Since the reminder 169 ≠ 0, we apply division lemma to 78 and 169, to get

169 = 78 x 2 + 13

Step 3: We consider the new divisor 78 and the new remainder 13, and apply the division lemma to get

78 = 13 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 247 and 169 is 13

Notice that 13 = HCF(78,13) = HCF(169,78) = HCF(247,169) .

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

Step 1: Since 48 > 13, we apply the division lemma to 48 and 13, to get

48 = 13 x 3 + 9

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 9 and 13, to get

13 = 9 x 1 + 4

Step 3: We consider the new divisor 9 and the new remainder 4, and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 48 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) .

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

Step 1: Since 472 > 1, we apply the division lemma to 472 and 1, to get

472 = 1 x 472 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 472 is 1

Notice that 1 = HCF(472,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 247, 169, 48, 472 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 247, 169, 48, 472?

Answer: HCF of 247, 169, 48, 472 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 247, 169, 48, 472 using Euclid's Algorithm?

Answer: For arbitrary numbers 247, 169, 48, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.