Highest Common Factor of 203, 8098, 7614 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 203, 8098, 7614 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 203, 8098, 7614 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 203, 8098, 7614 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 203, 8098, 7614 is 1.

HCF(203, 8098, 7614) = 1

HCF of 203, 8098, 7614 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 203, 8098, 7614 is 1.

Highest Common Factor of 203,8098,7614 using Euclid's algorithm

Highest Common Factor of 203,8098,7614 is 1

Step 1: Since 8098 > 203, we apply the division lemma to 8098 and 203, to get

8098 = 203 x 39 + 181

Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 181 and 203, to get

203 = 181 x 1 + 22

Step 3: We consider the new divisor 181 and the new remainder 22, and apply the division lemma to get

181 = 22 x 8 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 203 and 8098 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(181,22) = HCF(203,181) = HCF(8098,203) .

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

Step 1: Since 7614 > 1, we apply the division lemma to 7614 and 1, to get

7614 = 1 x 7614 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7614 is 1

Notice that 1 = HCF(7614,1) .

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Frequently Asked Questions on HCF of 203, 8098, 7614 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 203, 8098, 7614?

Answer: HCF of 203, 8098, 7614 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 203, 8098, 7614 using Euclid's Algorithm?

Answer: For arbitrary numbers 203, 8098, 7614 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.