Highest Common Factor of 782, 571, 757, 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 782, 571, 757, 274 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 782, 571, 757, 274 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 782, 571, 757, 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 782, 571, 757, 274 is 1.

HCF(782, 571, 757, 274) = 1

HCF of 782, 571, 757, 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 782, 571, 757, 274 is 1.

Highest Common Factor of 782,571,757,274 using Euclid's algorithm

Highest Common Factor of 782,571,757,274 is 1

Step 1: Since 782 > 571, we apply the division lemma to 782 and 571, to get

782 = 571 x 1 + 211

Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 211 and 571, to get

571 = 211 x 2 + 149

Step 3: We consider the new divisor 211 and the new remainder 149, and apply the division lemma to get

211 = 149 x 1 + 62

We consider the new divisor 149 and the new remainder 62,and apply the division lemma to get

149 = 62 x 2 + 25

We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get

62 = 25 x 2 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 782 and 571 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(149,62) = HCF(211,149) = HCF(571,211) = HCF(782,571) .

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

Step 1: Since 757 > 1, we apply the division lemma to 757 and 1, to get

757 = 1 x 757 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 757 is 1

Notice that 1 = HCF(757,1) .

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

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

274 = 1 x 274 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 274 is 1

Notice that 1 = HCF(274,1) .

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Frequently Asked Questions on HCF of 782, 571, 757, 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 782, 571, 757, 274?

Answer: HCF of 782, 571, 757, 274 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 782, 571, 757, 274 using Euclid's Algorithm?

Answer: For arbitrary numbers 782, 571, 757, 274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.