Highest Common Factor of 246, 5560, 5921 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 246, 5560, 5921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 246, 5560, 5921 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 246, 5560, 5921 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 246, 5560, 5921 is 1.

HCF(246, 5560, 5921) = 1

HCF of 246, 5560, 5921 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 246, 5560, 5921 is 1.

Highest Common Factor of 246,5560,5921 using Euclid's algorithm

Highest Common Factor of 246,5560,5921 is 1

Step 1: Since 5560 > 246, we apply the division lemma to 5560 and 246, to get

5560 = 246 x 22 + 148

Step 2: Since the reminder 246 ≠ 0, we apply division lemma to 148 and 246, to get

246 = 148 x 1 + 98

Step 3: We consider the new divisor 148 and the new remainder 98, and apply the division lemma to get

148 = 98 x 1 + 50

We consider the new divisor 98 and the new remainder 50,and apply the division lemma to get

98 = 50 x 1 + 48

We consider the new divisor 50 and the new remainder 48,and apply the division lemma to get

50 = 48 x 1 + 2

We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get

48 = 2 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 246 and 5560 is 2

Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(98,50) = HCF(148,98) = HCF(246,148) = HCF(5560,246) .

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

Step 1: Since 5921 > 2, we apply the division lemma to 5921 and 2, to get

5921 = 2 x 2960 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 5921 is 1

Notice that 1 = HCF(2,1) = HCF(5921,2) .

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Frequently Asked Questions on HCF of 246, 5560, 5921 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 246, 5560, 5921?

Answer: HCF of 246, 5560, 5921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 246, 5560, 5921 using Euclid's Algorithm?

Answer: For arbitrary numbers 246, 5560, 5921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.