Highest Common Factor of 4984, 6096, 70715 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 4984, 6096, 70715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4984, 6096, 70715 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 4984, 6096, 70715 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 4984, 6096, 70715 is 1.

HCF(4984, 6096, 70715) = 1

HCF of 4984, 6096, 70715 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 4984, 6096, 70715 is 1.

Highest Common Factor of 4984,6096,70715 using Euclid's algorithm

Highest Common Factor of 4984,6096,70715 is 1

Step 1: Since 6096 > 4984, we apply the division lemma to 6096 and 4984, to get

6096 = 4984 x 1 + 1112

Step 2: Since the reminder 4984 ≠ 0, we apply division lemma to 1112 and 4984, to get

4984 = 1112 x 4 + 536

Step 3: We consider the new divisor 1112 and the new remainder 536, and apply the division lemma to get

1112 = 536 x 2 + 40

We consider the new divisor 536 and the new remainder 40,and apply the division lemma to get

536 = 40 x 13 + 16

We consider the new divisor 40 and the new remainder 16,and apply the division lemma to get

40 = 16 x 2 + 8

We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get

16 = 8 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4984 and 6096 is 8

Notice that 8 = HCF(16,8) = HCF(40,16) = HCF(536,40) = HCF(1112,536) = HCF(4984,1112) = HCF(6096,4984) .

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

Step 1: Since 70715 > 8, we apply the division lemma to 70715 and 8, to get

70715 = 8 x 8839 + 3

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get

8 = 3 x 2 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 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 8 and 70715 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(70715,8) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4984, 6096, 70715 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 4984, 6096, 70715?

Answer: HCF of 4984, 6096, 70715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4984, 6096, 70715 using Euclid's Algorithm?

Answer: For arbitrary numbers 4984, 6096, 70715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.