Highest Common Factor of 940, 534, 274 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 940, 534, 274 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 940, 534, 274 is 2 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 940, 534, 274 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 940, 534, 274 is 2.

HCF(940, 534, 274) = 2

HCF of 940, 534, 274 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 940, 534, 274 is 2.

Highest Common Factor of 940,534,274 using Euclid's algorithm

Highest Common Factor of 940,534,274 is 2

Step 1: Since 940 > 534, we apply the division lemma to 940 and 534, to get

940 = 534 x 1 + 406

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 406 and 534, to get

534 = 406 x 1 + 128

Step 3: We consider the new divisor 406 and the new remainder 128, and apply the division lemma to get

406 = 128 x 3 + 22

We consider the new divisor 128 and the new remainder 22,and apply the division lemma to get

128 = 22 x 5 + 18

We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get

22 = 18 x 1 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 940 and 534 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(128,22) = HCF(406,128) = HCF(534,406) = HCF(940,534) .

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

Step 1: Since 274 > 2, we apply the division lemma to 274 and 2, to get

274 = 2 x 137 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 274 is 2

Notice that 2 = HCF(274,2) .

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Frequently Asked Questions on HCF of 940, 534, 274 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 940, 534, 274?

Answer: HCF of 940, 534, 274 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 940, 534, 274 using Euclid's Algorithm?

Answer: For arbitrary numbers 940, 534, 274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.