Highest Common Factor of 750, 476, 294 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 750, 476, 294 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 750, 476, 294 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 750, 476, 294 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 750, 476, 294 is 2.

HCF(750, 476, 294) = 2

HCF of 750, 476, 294 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 750, 476, 294 is 2.

Highest Common Factor of 750,476,294 using Euclid's algorithm

Highest Common Factor of 750,476,294 is 2

Step 1: Since 750 > 476, we apply the division lemma to 750 and 476, to get

750 = 476 x 1 + 274

Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 274 and 476, to get

476 = 274 x 1 + 202

Step 3: We consider the new divisor 274 and the new remainder 202, and apply the division lemma to get

274 = 202 x 1 + 72

We consider the new divisor 202 and the new remainder 72,and apply the division lemma to get

202 = 72 x 2 + 58

We consider the new divisor 72 and the new remainder 58,and apply the division lemma to get

72 = 58 x 1 + 14

We consider the new divisor 58 and the new remainder 14,and apply the division lemma to get

58 = 14 x 4 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 750 and 476 is 2

Notice that 2 = HCF(14,2) = HCF(58,14) = HCF(72,58) = HCF(202,72) = HCF(274,202) = HCF(476,274) = HCF(750,476) .

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

Step 1: Since 294 > 2, we apply the division lemma to 294 and 2, to get

294 = 2 x 147 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 294 is 2

Notice that 2 = HCF(294,2) .

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Frequently Asked Questions on HCF of 750, 476, 294 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 750, 476, 294?

Answer: HCF of 750, 476, 294 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 750, 476, 294 using Euclid's Algorithm?

Answer: For arbitrary numbers 750, 476, 294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.