Highest Common Factor of 5448, 5758, 48702 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 5448, 5758, 48702 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 5448, 5758, 48702 is 2 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 5448, 5758, 48702 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 5448, 5758, 48702 is 2.

HCF(5448, 5758, 48702) = 2

HCF of 5448, 5758, 48702 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 5448, 5758, 48702 is 2.

Highest Common Factor of 5448,5758,48702 using Euclid's algorithm

Highest Common Factor of 5448,5758,48702 is 2

Step 1: Since 5758 > 5448, we apply the division lemma to 5758 and 5448, to get

5758 = 5448 x 1 + 310

Step 2: Since the reminder 5448 ≠ 0, we apply division lemma to 310 and 5448, to get

5448 = 310 x 17 + 178

Step 3: We consider the new divisor 310 and the new remainder 178, and apply the division lemma to get

310 = 178 x 1 + 132

We consider the new divisor 178 and the new remainder 132,and apply the division lemma to get

178 = 132 x 1 + 46

We consider the new divisor 132 and the new remainder 46,and apply the division lemma to get

132 = 46 x 2 + 40

We consider the new divisor 46 and the new remainder 40,and apply the division lemma to get

46 = 40 x 1 + 6

We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get

40 = 6 x 6 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5448 and 5758 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(46,40) = HCF(132,46) = HCF(178,132) = HCF(310,178) = HCF(5448,310) = HCF(5758,5448) .

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

Step 1: Since 48702 > 2, we apply the division lemma to 48702 and 2, to get

48702 = 2 x 24351 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 48702 is 2

Notice that 2 = HCF(48702,2) .

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Frequently Asked Questions on HCF of 5448, 5758, 48702 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 5448, 5758, 48702?

Answer: HCF of 5448, 5758, 48702 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5448, 5758, 48702 using Euclid's Algorithm?

Answer: For arbitrary numbers 5448, 5758, 48702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.