Highest Common Factor of 3920, 2897, 98709 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 3920, 2897, 98709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3920, 2897, 98709 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 3920, 2897, 98709 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 3920, 2897, 98709 is 1.

HCF(3920, 2897, 98709) = 1

HCF of 3920, 2897, 98709 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 3920, 2897, 98709 is 1.

Highest Common Factor of 3920,2897,98709 using Euclid's algorithm

Highest Common Factor of 3920,2897,98709 is 1

Step 1: Since 3920 > 2897, we apply the division lemma to 3920 and 2897, to get

3920 = 2897 x 1 + 1023

Step 2: Since the reminder 2897 ≠ 0, we apply division lemma to 1023 and 2897, to get

2897 = 1023 x 2 + 851

Step 3: We consider the new divisor 1023 and the new remainder 851, and apply the division lemma to get

1023 = 851 x 1 + 172

We consider the new divisor 851 and the new remainder 172,and apply the division lemma to get

851 = 172 x 4 + 163

We consider the new divisor 172 and the new remainder 163,and apply the division lemma to get

172 = 163 x 1 + 9

We consider the new divisor 163 and the new remainder 9,and apply the division lemma to get

163 = 9 x 18 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3920 and 2897 is 1

Notice that 1 = HCF(9,1) = HCF(163,9) = HCF(172,163) = HCF(851,172) = HCF(1023,851) = HCF(2897,1023) = HCF(3920,2897) .

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

Step 1: Since 98709 > 1, we apply the division lemma to 98709 and 1, to get

98709 = 1 x 98709 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98709 is 1

Notice that 1 = HCF(98709,1) .

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Frequently Asked Questions on HCF of 3920, 2897, 98709 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 3920, 2897, 98709?

Answer: HCF of 3920, 2897, 98709 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3920, 2897, 98709 using Euclid's Algorithm?

Answer: For arbitrary numbers 3920, 2897, 98709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.