Highest Common Factor of 246, 738, 149 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, 738, 149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 246, 738, 149 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, 738, 149 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, 738, 149 is 1.

HCF(246, 738, 149) = 1

HCF of 246, 738, 149 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, 738, 149 is 1.

Highest Common Factor of 246,738,149 using Euclid's algorithm

Highest Common Factor of 246,738,149 is 1

Step 1: Since 738 > 246, we apply the division lemma to 738 and 246, to get

738 = 246 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 246, the HCF of 246 and 738 is 246

Notice that 246 = HCF(738,246) .

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

Step 1: Since 246 > 149, we apply the division lemma to 246 and 149, to get

246 = 149 x 1 + 97

Step 2: Since the reminder 149 ≠ 0, we apply division lemma to 97 and 149, to get

149 = 97 x 1 + 52

Step 3: We consider the new divisor 97 and the new remainder 52, and apply the division lemma to get

97 = 52 x 1 + 45

We consider the new divisor 52 and the new remainder 45,and apply the division lemma to get

52 = 45 x 1 + 7

We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get

45 = 7 x 6 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 246 and 149 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(52,45) = HCF(97,52) = HCF(149,97) = HCF(246,149) .

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Frequently Asked Questions on HCF of 246, 738, 149 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, 738, 149?

Answer: HCF of 246, 738, 149 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 246, 738, 149 using Euclid's Algorithm?

Answer: For arbitrary numbers 246, 738, 149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.