Highest Common Factor of 9941, 7241, 11180 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 9941, 7241, 11180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9941, 7241, 11180 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 9941, 7241, 11180 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 9941, 7241, 11180 is 1.

HCF(9941, 7241, 11180) = 1

HCF of 9941, 7241, 11180 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 9941, 7241, 11180 is 1.

Highest Common Factor of 9941,7241,11180 using Euclid's algorithm

Highest Common Factor of 9941,7241,11180 is 1

Step 1: Since 9941 > 7241, we apply the division lemma to 9941 and 7241, to get

9941 = 7241 x 1 + 2700

Step 2: Since the reminder 7241 ≠ 0, we apply division lemma to 2700 and 7241, to get

7241 = 2700 x 2 + 1841

Step 3: We consider the new divisor 2700 and the new remainder 1841, and apply the division lemma to get

2700 = 1841 x 1 + 859

We consider the new divisor 1841 and the new remainder 859,and apply the division lemma to get

1841 = 859 x 2 + 123

We consider the new divisor 859 and the new remainder 123,and apply the division lemma to get

859 = 123 x 6 + 121

We consider the new divisor 123 and the new remainder 121,and apply the division lemma to get

123 = 121 x 1 + 2

We consider the new divisor 121 and the new remainder 2,and apply the division lemma to get

121 = 2 x 60 + 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 9941 and 7241 is 1

Notice that 1 = HCF(2,1) = HCF(121,2) = HCF(123,121) = HCF(859,123) = HCF(1841,859) = HCF(2700,1841) = HCF(7241,2700) = HCF(9941,7241) .

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

Step 1: Since 11180 > 1, we apply the division lemma to 11180 and 1, to get

11180 = 1 x 11180 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11180 is 1

Notice that 1 = HCF(11180,1) .

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Frequently Asked Questions on HCF of 9941, 7241, 11180 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 9941, 7241, 11180?

Answer: HCF of 9941, 7241, 11180 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9941, 7241, 11180 using Euclid's Algorithm?

Answer: For arbitrary numbers 9941, 7241, 11180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.