Highest Common Factor of 9242, 5371, 56741 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 9242, 5371, 56741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9242, 5371, 56741 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 9242, 5371, 56741 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 9242, 5371, 56741 is 1.

HCF(9242, 5371, 56741) = 1

HCF of 9242, 5371, 56741 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 9242, 5371, 56741 is 1.

Highest Common Factor of 9242,5371,56741 using Euclid's algorithm

Highest Common Factor of 9242,5371,56741 is 1

Step 1: Since 9242 > 5371, we apply the division lemma to 9242 and 5371, to get

9242 = 5371 x 1 + 3871

Step 2: Since the reminder 5371 ≠ 0, we apply division lemma to 3871 and 5371, to get

5371 = 3871 x 1 + 1500

Step 3: We consider the new divisor 3871 and the new remainder 1500, and apply the division lemma to get

3871 = 1500 x 2 + 871

We consider the new divisor 1500 and the new remainder 871,and apply the division lemma to get

1500 = 871 x 1 + 629

We consider the new divisor 871 and the new remainder 629,and apply the division lemma to get

871 = 629 x 1 + 242

We consider the new divisor 629 and the new remainder 242,and apply the division lemma to get

629 = 242 x 2 + 145

We consider the new divisor 242 and the new remainder 145,and apply the division lemma to get

242 = 145 x 1 + 97

We consider the new divisor 145 and the new remainder 97,and apply the division lemma to get

145 = 97 x 1 + 48

We consider the new divisor 97 and the new remainder 48,and apply the division lemma to get

97 = 48 x 2 + 1

We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get

48 = 1 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9242 and 5371 is 1

Notice that 1 = HCF(48,1) = HCF(97,48) = HCF(145,97) = HCF(242,145) = HCF(629,242) = HCF(871,629) = HCF(1500,871) = HCF(3871,1500) = HCF(5371,3871) = HCF(9242,5371) .

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

Step 1: Since 56741 > 1, we apply the division lemma to 56741 and 1, to get

56741 = 1 x 56741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56741 is 1

Notice that 1 = HCF(56741,1) .

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Frequently Asked Questions on HCF of 9242, 5371, 56741 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 9242, 5371, 56741?

Answer: HCF of 9242, 5371, 56741 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9242, 5371, 56741 using Euclid's Algorithm?

Answer: For arbitrary numbers 9242, 5371, 56741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.