Highest Common Factor of 1937, 4557, 98618 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 1937, 4557, 98618 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1937, 4557, 98618 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 1937, 4557, 98618 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 1937, 4557, 98618 is 1.

HCF(1937, 4557, 98618) = 1

HCF of 1937, 4557, 98618 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 1937, 4557, 98618 is 1.

Highest Common Factor of 1937,4557,98618 using Euclid's algorithm

Highest Common Factor of 1937,4557,98618 is 1

Step 1: Since 4557 > 1937, we apply the division lemma to 4557 and 1937, to get

4557 = 1937 x 2 + 683

Step 2: Since the reminder 1937 ≠ 0, we apply division lemma to 683 and 1937, to get

1937 = 683 x 2 + 571

Step 3: We consider the new divisor 683 and the new remainder 571, and apply the division lemma to get

683 = 571 x 1 + 112

We consider the new divisor 571 and the new remainder 112,and apply the division lemma to get

571 = 112 x 5 + 11

We consider the new divisor 112 and the new remainder 11,and apply the division lemma to get

112 = 11 x 10 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 1937 and 4557 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(112,11) = HCF(571,112) = HCF(683,571) = HCF(1937,683) = HCF(4557,1937) .

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

Step 1: Since 98618 > 1, we apply the division lemma to 98618 and 1, to get

98618 = 1 x 98618 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98618 is 1

Notice that 1 = HCF(98618,1) .

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Frequently Asked Questions on HCF of 1937, 4557, 98618 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 1937, 4557, 98618?

Answer: HCF of 1937, 4557, 98618 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1937, 4557, 98618 using Euclid's Algorithm?

Answer: For arbitrary numbers 1937, 4557, 98618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.