Highest Common Factor of 9950, 7237, 29162 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 9950, 7237, 29162 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9950, 7237, 29162 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 9950, 7237, 29162 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 9950, 7237, 29162 is 1.

HCF(9950, 7237, 29162) = 1

HCF of 9950, 7237, 29162 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 9950, 7237, 29162 is 1.

Highest Common Factor of 9950,7237,29162 using Euclid's algorithm

Highest Common Factor of 9950,7237,29162 is 1

Step 1: Since 9950 > 7237, we apply the division lemma to 9950 and 7237, to get

9950 = 7237 x 1 + 2713

Step 2: Since the reminder 7237 ≠ 0, we apply division lemma to 2713 and 7237, to get

7237 = 2713 x 2 + 1811

Step 3: We consider the new divisor 2713 and the new remainder 1811, and apply the division lemma to get

2713 = 1811 x 1 + 902

We consider the new divisor 1811 and the new remainder 902,and apply the division lemma to get

1811 = 902 x 2 + 7

We consider the new divisor 902 and the new remainder 7,and apply the division lemma to get

902 = 7 x 128 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9950 and 7237 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(902,7) = HCF(1811,902) = HCF(2713,1811) = HCF(7237,2713) = HCF(9950,7237) .

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

Step 1: Since 29162 > 1, we apply the division lemma to 29162 and 1, to get

29162 = 1 x 29162 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29162 is 1

Notice that 1 = HCF(29162,1) .

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Frequently Asked Questions on HCF of 9950, 7237, 29162 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 9950, 7237, 29162?

Answer: HCF of 9950, 7237, 29162 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9950, 7237, 29162 using Euclid's Algorithm?

Answer: For arbitrary numbers 9950, 7237, 29162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.