Highest Common Factor of 726, 268, 730, 55 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 726, 268, 730, 55 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 726, 268, 730, 55 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 726, 268, 730, 55 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 726, 268, 730, 55 is 1.

HCF(726, 268, 730, 55) = 1

HCF of 726, 268, 730, 55 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 726, 268, 730, 55 is 1.

Highest Common Factor of 726,268,730,55 using Euclid's algorithm

Highest Common Factor of 726,268,730,55 is 1

Step 1: Since 726 > 268, we apply the division lemma to 726 and 268, to get

726 = 268 x 2 + 190

Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 190 and 268, to get

268 = 190 x 1 + 78

Step 3: We consider the new divisor 190 and the new remainder 78, and apply the division lemma to get

190 = 78 x 2 + 34

We consider the new divisor 78 and the new remainder 34,and apply the division lemma to get

78 = 34 x 2 + 10

We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get

34 = 10 x 3 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 726 and 268 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(78,34) = HCF(190,78) = HCF(268,190) = HCF(726,268) .

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

Step 1: Since 730 > 2, we apply the division lemma to 730 and 2, to get

730 = 2 x 365 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 730 is 2

Notice that 2 = HCF(730,2) .

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

Step 1: Since 55 > 2, we apply the division lemma to 55 and 2, to get

55 = 2 x 27 + 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 55 is 1

Notice that 1 = HCF(2,1) = HCF(55,2) .

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Frequently Asked Questions on HCF of 726, 268, 730, 55 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 726, 268, 730, 55?

Answer: HCF of 726, 268, 730, 55 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 726, 268, 730, 55 using Euclid's Algorithm?

Answer: For arbitrary numbers 726, 268, 730, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.