Highest Common Factor of 640, 996, 815, 248 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 640, 996, 815, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 640, 996, 815, 248 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 640, 996, 815, 248 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 640, 996, 815, 248 is 1.

HCF(640, 996, 815, 248) = 1

HCF of 640, 996, 815, 248 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 640, 996, 815, 248 is 1.

Highest Common Factor of 640,996,815,248 using Euclid's algorithm

Highest Common Factor of 640,996,815,248 is 1

Step 1: Since 996 > 640, we apply the division lemma to 996 and 640, to get

996 = 640 x 1 + 356

Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 356 and 640, to get

640 = 356 x 1 + 284

Step 3: We consider the new divisor 356 and the new remainder 284, and apply the division lemma to get

356 = 284 x 1 + 72

We consider the new divisor 284 and the new remainder 72,and apply the division lemma to get

284 = 72 x 3 + 68

We consider the new divisor 72 and the new remainder 68,and apply the division lemma to get

72 = 68 x 1 + 4

We consider the new divisor 68 and the new remainder 4,and apply the division lemma to get

68 = 4 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 640 and 996 is 4

Notice that 4 = HCF(68,4) = HCF(72,68) = HCF(284,72) = HCF(356,284) = HCF(640,356) = HCF(996,640) .

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

Step 1: Since 815 > 4, we apply the division lemma to 815 and 4, to get

815 = 4 x 203 + 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 815 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(815,4) .

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

Step 1: Since 248 > 1, we apply the division lemma to 248 and 1, to get

248 = 1 x 248 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 248 is 1

Notice that 1 = HCF(248,1) .

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Frequently Asked Questions on HCF of 640, 996, 815, 248 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 640, 996, 815, 248?

Answer: HCF of 640, 996, 815, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 640, 996, 815, 248 using Euclid's Algorithm?

Answer: For arbitrary numbers 640, 996, 815, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.