Highest Common Factor of 8680, 2083, 48036 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 8680, 2083, 48036 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8680, 2083, 48036 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 8680, 2083, 48036 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 8680, 2083, 48036 is 1.

HCF(8680, 2083, 48036) = 1

HCF of 8680, 2083, 48036 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 8680, 2083, 48036 is 1.

Highest Common Factor of 8680,2083,48036 using Euclid's algorithm

Highest Common Factor of 8680,2083,48036 is 1

Step 1: Since 8680 > 2083, we apply the division lemma to 8680 and 2083, to get

8680 = 2083 x 4 + 348

Step 2: Since the reminder 2083 ≠ 0, we apply division lemma to 348 and 2083, to get

2083 = 348 x 5 + 343

Step 3: We consider the new divisor 348 and the new remainder 343, and apply the division lemma to get

348 = 343 x 1 + 5

We consider the new divisor 343 and the new remainder 5,and apply the division lemma to get

343 = 5 x 68 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8680 and 2083 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(343,5) = HCF(348,343) = HCF(2083,348) = HCF(8680,2083) .

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

Step 1: Since 48036 > 1, we apply the division lemma to 48036 and 1, to get

48036 = 1 x 48036 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48036 is 1

Notice that 1 = HCF(48036,1) .

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Frequently Asked Questions on HCF of 8680, 2083, 48036 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 8680, 2083, 48036?

Answer: HCF of 8680, 2083, 48036 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8680, 2083, 48036 using Euclid's Algorithm?

Answer: For arbitrary numbers 8680, 2083, 48036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.