Highest Common Factor of 5560, 2098, 56364 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 5560, 2098, 56364 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 5560, 2098, 56364 is 2 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 5560, 2098, 56364 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 5560, 2098, 56364 is 2.

HCF(5560, 2098, 56364) = 2

HCF of 5560, 2098, 56364 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 5560, 2098, 56364 is 2.

Highest Common Factor of 5560,2098,56364 using Euclid's algorithm

Highest Common Factor of 5560,2098,56364 is 2

Step 1: Since 5560 > 2098, we apply the division lemma to 5560 and 2098, to get

5560 = 2098 x 2 + 1364

Step 2: Since the reminder 2098 ≠ 0, we apply division lemma to 1364 and 2098, to get

2098 = 1364 x 1 + 734

Step 3: We consider the new divisor 1364 and the new remainder 734, and apply the division lemma to get

1364 = 734 x 1 + 630

We consider the new divisor 734 and the new remainder 630,and apply the division lemma to get

734 = 630 x 1 + 104

We consider the new divisor 630 and the new remainder 104,and apply the division lemma to get

630 = 104 x 6 + 6

We consider the new divisor 104 and the new remainder 6,and apply the division lemma to get

104 = 6 x 17 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5560 and 2098 is 2

Notice that 2 = HCF(6,2) = HCF(104,6) = HCF(630,104) = HCF(734,630) = HCF(1364,734) = HCF(2098,1364) = HCF(5560,2098) .

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

Step 1: Since 56364 > 2, we apply the division lemma to 56364 and 2, to get

56364 = 2 x 28182 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 56364 is 2

Notice that 2 = HCF(56364,2) .

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Frequently Asked Questions on HCF of 5560, 2098, 56364 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 5560, 2098, 56364?

Answer: HCF of 5560, 2098, 56364 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5560, 2098, 56364 using Euclid's Algorithm?

Answer: For arbitrary numbers 5560, 2098, 56364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.