Highest Common Factor of 741, 949, 86 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 741, 949, 86 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 741, 949, 86 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 741, 949, 86 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 741, 949, 86 is 1.

HCF(741, 949, 86) = 1

HCF of 741, 949, 86 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 741, 949, 86 is 1.

Highest Common Factor of 741,949,86 using Euclid's algorithm

Highest Common Factor of 741,949,86 is 1

Step 1: Since 949 > 741, we apply the division lemma to 949 and 741, to get

949 = 741 x 1 + 208

Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 208 and 741, to get

741 = 208 x 3 + 117

Step 3: We consider the new divisor 208 and the new remainder 117, and apply the division lemma to get

208 = 117 x 1 + 91

We consider the new divisor 117 and the new remainder 91,and apply the division lemma to get

117 = 91 x 1 + 26

We consider the new divisor 91 and the new remainder 26,and apply the division lemma to get

91 = 26 x 3 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 741 and 949 is 13

Notice that 13 = HCF(26,13) = HCF(91,26) = HCF(117,91) = HCF(208,117) = HCF(741,208) = HCF(949,741) .

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

Step 1: Since 86 > 13, we apply the division lemma to 86 and 13, to get

86 = 13 x 6 + 8

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 8 and 13, to get

13 = 8 x 1 + 5

Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 13 and 86 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(86,13) .

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Frequently Asked Questions on HCF of 741, 949, 86 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 741, 949, 86?

Answer: HCF of 741, 949, 86 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 741, 949, 86 using Euclid's Algorithm?

Answer: For arbitrary numbers 741, 949, 86 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.