Highest Common Factor of 2496, 6577, 48328 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 2496, 6577, 48328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2496, 6577, 48328 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 2496, 6577, 48328 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 2496, 6577, 48328 is 1.

HCF(2496, 6577, 48328) = 1

HCF of 2496, 6577, 48328 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 2496, 6577, 48328 is 1.

Highest Common Factor of 2496,6577,48328 using Euclid's algorithm

Highest Common Factor of 2496,6577,48328 is 1

Step 1: Since 6577 > 2496, we apply the division lemma to 6577 and 2496, to get

6577 = 2496 x 2 + 1585

Step 2: Since the reminder 2496 ≠ 0, we apply division lemma to 1585 and 2496, to get

2496 = 1585 x 1 + 911

Step 3: We consider the new divisor 1585 and the new remainder 911, and apply the division lemma to get

1585 = 911 x 1 + 674

We consider the new divisor 911 and the new remainder 674,and apply the division lemma to get

911 = 674 x 1 + 237

We consider the new divisor 674 and the new remainder 237,and apply the division lemma to get

674 = 237 x 2 + 200

We consider the new divisor 237 and the new remainder 200,and apply the division lemma to get

237 = 200 x 1 + 37

We consider the new divisor 200 and the new remainder 37,and apply the division lemma to get

200 = 37 x 5 + 15

We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get

37 = 15 x 2 + 7

We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get

15 = 7 x 2 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2496 and 6577 is 1

Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(200,37) = HCF(237,200) = HCF(674,237) = HCF(911,674) = HCF(1585,911) = HCF(2496,1585) = HCF(6577,2496) .

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

Step 1: Since 48328 > 1, we apply the division lemma to 48328 and 1, to get

48328 = 1 x 48328 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48328 is 1

Notice that 1 = HCF(48328,1) .

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Frequently Asked Questions on HCF of 2496, 6577, 48328 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 2496, 6577, 48328?

Answer: HCF of 2496, 6577, 48328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2496, 6577, 48328 using Euclid's Algorithm?

Answer: For arbitrary numbers 2496, 6577, 48328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.