Highest Common Factor of 848, 9840, 7147 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 848, 9840, 7147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 9840, 7147 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 848, 9840, 7147 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 848, 9840, 7147 is 1.

HCF(848, 9840, 7147) = 1

HCF of 848, 9840, 7147 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 848, 9840, 7147 is 1.

Highest Common Factor of 848,9840,7147 using Euclid's algorithm

Highest Common Factor of 848,9840,7147 is 1

Step 1: Since 9840 > 848, we apply the division lemma to 9840 and 848, to get

9840 = 848 x 11 + 512

Step 2: Since the reminder 848 ≠ 0, we apply division lemma to 512 and 848, to get

848 = 512 x 1 + 336

Step 3: We consider the new divisor 512 and the new remainder 336, and apply the division lemma to get

512 = 336 x 1 + 176

We consider the new divisor 336 and the new remainder 176,and apply the division lemma to get

336 = 176 x 1 + 160

We consider the new divisor 176 and the new remainder 160,and apply the division lemma to get

176 = 160 x 1 + 16

We consider the new divisor 160 and the new remainder 16,and apply the division lemma to get

160 = 16 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 848 and 9840 is 16

Notice that 16 = HCF(160,16) = HCF(176,160) = HCF(336,176) = HCF(512,336) = HCF(848,512) = HCF(9840,848) .

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

Step 1: Since 7147 > 16, we apply the division lemma to 7147 and 16, to get

7147 = 16 x 446 + 11

Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 11 and 16, to get

16 = 11 x 1 + 5

Step 3: We consider the new divisor 11 and the new remainder 5, and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 7147 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(7147,16) .

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Frequently Asked Questions on HCF of 848, 9840, 7147 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 848, 9840, 7147?

Answer: HCF of 848, 9840, 7147 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 9840, 7147 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 9840, 7147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.