Highest Common Factor of 805, 971, 683, 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 805, 971, 683, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 805, 971, 683, 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 805, 971, 683, 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 805, 971, 683, 248 is 1.

HCF(805, 971, 683, 248) = 1

HCF of 805, 971, 683, 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 805, 971, 683, 248 is 1.

Highest Common Factor of 805,971,683,248 using Euclid's algorithm

Highest Common Factor of 805,971,683,248 is 1

Step 1: Since 971 > 805, we apply the division lemma to 971 and 805, to get

971 = 805 x 1 + 166

Step 2: Since the reminder 805 ≠ 0, we apply division lemma to 166 and 805, to get

805 = 166 x 4 + 141

Step 3: We consider the new divisor 166 and the new remainder 141, and apply the division lemma to get

166 = 141 x 1 + 25

We consider the new divisor 141 and the new remainder 25,and apply the division lemma to get

141 = 25 x 5 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 805 and 971 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(141,25) = HCF(166,141) = HCF(805,166) = HCF(971,805) .

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

Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get

683 = 1 x 683 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1

Notice that 1 = HCF(683,1) .

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 805, 971, 683, 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 805, 971, 683, 248?

Answer: HCF of 805, 971, 683, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 805, 971, 683, 248 using Euclid's Algorithm?

Answer: For arbitrary numbers 805, 971, 683, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.