Highest Common Factor of 4851, 3152 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 4851, 3152 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4851, 3152 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 4851, 3152 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 4851, 3152 is 1.

HCF(4851, 3152) = 1

HCF of 4851, 3152 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 4851, 3152 is 1.

Highest Common Factor of 4851,3152 using Euclid's algorithm

Highest Common Factor of 4851,3152 is 1

Step 1: Since 4851 > 3152, we apply the division lemma to 4851 and 3152, to get

4851 = 3152 x 1 + 1699

Step 2: Since the reminder 3152 ≠ 0, we apply division lemma to 1699 and 3152, to get

3152 = 1699 x 1 + 1453

Step 3: We consider the new divisor 1699 and the new remainder 1453, and apply the division lemma to get

1699 = 1453 x 1 + 246

We consider the new divisor 1453 and the new remainder 246,and apply the division lemma to get

1453 = 246 x 5 + 223

We consider the new divisor 246 and the new remainder 223,and apply the division lemma to get

246 = 223 x 1 + 23

We consider the new divisor 223 and the new remainder 23,and apply the division lemma to get

223 = 23 x 9 + 16

We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get

23 = 16 x 1 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 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 4851 and 3152 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(223,23) = HCF(246,223) = HCF(1453,246) = HCF(1699,1453) = HCF(3152,1699) = HCF(4851,3152) .

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Frequently Asked Questions on HCF of 4851, 3152 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 4851, 3152?

Answer: HCF of 4851, 3152 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4851, 3152 using Euclid's Algorithm?

Answer: For arbitrary numbers 4851, 3152 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.