Highest Common Factor of 850, 274, 607, 57 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 850, 274, 607, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 850, 274, 607, 57 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 850, 274, 607, 57 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 850, 274, 607, 57 is 1.

HCF(850, 274, 607, 57) = 1

HCF of 850, 274, 607, 57 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 850, 274, 607, 57 is 1.

Highest Common Factor of 850,274,607,57 using Euclid's algorithm

Highest Common Factor of 850,274,607,57 is 1

Step 1: Since 850 > 274, we apply the division lemma to 850 and 274, to get

850 = 274 x 3 + 28

Step 2: Since the reminder 274 ≠ 0, we apply division lemma to 28 and 274, to get

274 = 28 x 9 + 22

Step 3: We consider the new divisor 28 and the new remainder 22, and apply the division lemma to get

28 = 22 x 1 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 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 850 and 274 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(274,28) = HCF(850,274) .

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

Step 1: Since 607 > 2, we apply the division lemma to 607 and 2, to get

607 = 2 x 303 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 607 is 1

Notice that 1 = HCF(2,1) = HCF(607,2) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 850, 274, 607, 57 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 850, 274, 607, 57?

Answer: HCF of 850, 274, 607, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 850, 274, 607, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 850, 274, 607, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.