Highest Common Factor of 5647, 7863, 70696 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 5647, 7863, 70696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5647, 7863, 70696 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 5647, 7863, 70696 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 5647, 7863, 70696 is 1.

HCF(5647, 7863, 70696) = 1

HCF of 5647, 7863, 70696 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 5647, 7863, 70696 is 1.

Highest Common Factor of 5647,7863,70696 using Euclid's algorithm

Highest Common Factor of 5647,7863,70696 is 1

Step 1: Since 7863 > 5647, we apply the division lemma to 7863 and 5647, to get

7863 = 5647 x 1 + 2216

Step 2: Since the reminder 5647 ≠ 0, we apply division lemma to 2216 and 5647, to get

5647 = 2216 x 2 + 1215

Step 3: We consider the new divisor 2216 and the new remainder 1215, and apply the division lemma to get

2216 = 1215 x 1 + 1001

We consider the new divisor 1215 and the new remainder 1001,and apply the division lemma to get

1215 = 1001 x 1 + 214

We consider the new divisor 1001 and the new remainder 214,and apply the division lemma to get

1001 = 214 x 4 + 145

We consider the new divisor 214 and the new remainder 145,and apply the division lemma to get

214 = 145 x 1 + 69

We consider the new divisor 145 and the new remainder 69,and apply the division lemma to get

145 = 69 x 2 + 7

We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get

69 = 7 x 9 + 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 5647 and 7863 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(145,69) = HCF(214,145) = HCF(1001,214) = HCF(1215,1001) = HCF(2216,1215) = HCF(5647,2216) = HCF(7863,5647) .

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

Step 1: Since 70696 > 1, we apply the division lemma to 70696 and 1, to get

70696 = 1 x 70696 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70696 is 1

Notice that 1 = HCF(70696,1) .

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Frequently Asked Questions on HCF of 5647, 7863, 70696 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 5647, 7863, 70696?

Answer: HCF of 5647, 7863, 70696 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5647, 7863, 70696 using Euclid's Algorithm?

Answer: For arbitrary numbers 5647, 7863, 70696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.