Highest Common Factor of 5444, 6390, 60739 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 5444, 6390, 60739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5444, 6390, 60739 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 5444, 6390, 60739 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 5444, 6390, 60739 is 1.

HCF(5444, 6390, 60739) = 1

HCF of 5444, 6390, 60739 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 5444, 6390, 60739 is 1.

Highest Common Factor of 5444,6390,60739 using Euclid's algorithm

Highest Common Factor of 5444,6390,60739 is 1

Step 1: Since 6390 > 5444, we apply the division lemma to 6390 and 5444, to get

6390 = 5444 x 1 + 946

Step 2: Since the reminder 5444 ≠ 0, we apply division lemma to 946 and 5444, to get

5444 = 946 x 5 + 714

Step 3: We consider the new divisor 946 and the new remainder 714, and apply the division lemma to get

946 = 714 x 1 + 232

We consider the new divisor 714 and the new remainder 232,and apply the division lemma to get

714 = 232 x 3 + 18

We consider the new divisor 232 and the new remainder 18,and apply the division lemma to get

232 = 18 x 12 + 16

We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get

18 = 16 x 1 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5444 and 6390 is 2

Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(232,18) = HCF(714,232) = HCF(946,714) = HCF(5444,946) = HCF(6390,5444) .

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

Step 1: Since 60739 > 2, we apply the division lemma to 60739 and 2, to get

60739 = 2 x 30369 + 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 60739 is 1

Notice that 1 = HCF(2,1) = HCF(60739,2) .

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Frequently Asked Questions on HCF of 5444, 6390, 60739 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 5444, 6390, 60739?

Answer: HCF of 5444, 6390, 60739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5444, 6390, 60739 using Euclid's Algorithm?

Answer: For arbitrary numbers 5444, 6390, 60739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.