Highest Common Factor of 937, 2028, 8050 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 937, 2028, 8050 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 2028, 8050 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 937, 2028, 8050 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 937, 2028, 8050 is 1.

HCF(937, 2028, 8050) = 1

HCF of 937, 2028, 8050 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 937, 2028, 8050 is 1.

Highest Common Factor of 937,2028,8050 using Euclid's algorithm

Highest Common Factor of 937,2028,8050 is 1

Step 1: Since 2028 > 937, we apply the division lemma to 2028 and 937, to get

2028 = 937 x 2 + 154

Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 154 and 937, to get

937 = 154 x 6 + 13

Step 3: We consider the new divisor 154 and the new remainder 13, and apply the division lemma to get

154 = 13 x 11 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 937 and 2028 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(154,13) = HCF(937,154) = HCF(2028,937) .

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

Step 1: Since 8050 > 1, we apply the division lemma to 8050 and 1, to get

8050 = 1 x 8050 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8050 is 1

Notice that 1 = HCF(8050,1) .

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Frequently Asked Questions on HCF of 937, 2028, 8050 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 937, 2028, 8050?

Answer: HCF of 937, 2028, 8050 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 2028, 8050 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 2028, 8050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.