Highest Common Factor of 8748, 1513, 98384 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 8748, 1513, 98384 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8748, 1513, 98384 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 8748, 1513, 98384 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 8748, 1513, 98384 is 1.

HCF(8748, 1513, 98384) = 1

HCF of 8748, 1513, 98384 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 8748, 1513, 98384 is 1.

Highest Common Factor of 8748,1513,98384 using Euclid's algorithm

Highest Common Factor of 8748,1513,98384 is 1

Step 1: Since 8748 > 1513, we apply the division lemma to 8748 and 1513, to get

8748 = 1513 x 5 + 1183

Step 2: Since the reminder 1513 ≠ 0, we apply division lemma to 1183 and 1513, to get

1513 = 1183 x 1 + 330

Step 3: We consider the new divisor 1183 and the new remainder 330, and apply the division lemma to get

1183 = 330 x 3 + 193

We consider the new divisor 330 and the new remainder 193,and apply the division lemma to get

330 = 193 x 1 + 137

We consider the new divisor 193 and the new remainder 137,and apply the division lemma to get

193 = 137 x 1 + 56

We consider the new divisor 137 and the new remainder 56,and apply the division lemma to get

137 = 56 x 2 + 25

We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get

56 = 25 x 2 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8748 and 1513 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(137,56) = HCF(193,137) = HCF(330,193) = HCF(1183,330) = HCF(1513,1183) = HCF(8748,1513) .

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

Step 1: Since 98384 > 1, we apply the division lemma to 98384 and 1, to get

98384 = 1 x 98384 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98384 is 1

Notice that 1 = HCF(98384,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8748, 1513, 98384 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 8748, 1513, 98384?

Answer: HCF of 8748, 1513, 98384 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8748, 1513, 98384 using Euclid's Algorithm?

Answer: For arbitrary numbers 8748, 1513, 98384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.