Highest Common Factor of 550, 907, 857 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 550, 907, 857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 550, 907, 857 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 550, 907, 857 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 550, 907, 857 is 1.

HCF(550, 907, 857) = 1

HCF of 550, 907, 857 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 550, 907, 857 is 1.

Highest Common Factor of 550,907,857 using Euclid's algorithm

Highest Common Factor of 550,907,857 is 1

Step 1: Since 907 > 550, we apply the division lemma to 907 and 550, to get

907 = 550 x 1 + 357

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 357 and 550, to get

550 = 357 x 1 + 193

Step 3: We consider the new divisor 357 and the new remainder 193, and apply the division lemma to get

357 = 193 x 1 + 164

We consider the new divisor 193 and the new remainder 164,and apply the division lemma to get

193 = 164 x 1 + 29

We consider the new divisor 164 and the new remainder 29,and apply the division lemma to get

164 = 29 x 5 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 550 and 907 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(164,29) = HCF(193,164) = HCF(357,193) = HCF(550,357) = HCF(907,550) .

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

Step 1: Since 857 > 1, we apply the division lemma to 857 and 1, to get

857 = 1 x 857 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 857 is 1

Notice that 1 = HCF(857,1) .

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Frequently Asked Questions on HCF of 550, 907, 857 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 550, 907, 857?

Answer: HCF of 550, 907, 857 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 550, 907, 857 using Euclid's Algorithm?

Answer: For arbitrary numbers 550, 907, 857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.