Highest Common Factor of 803, 970, 509, 855 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 803, 970, 509, 855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 803, 970, 509, 855 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 803, 970, 509, 855 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 803, 970, 509, 855 is 1.

HCF(803, 970, 509, 855) = 1

HCF of 803, 970, 509, 855 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 803, 970, 509, 855 is 1.

Highest Common Factor of 803,970,509,855 using Euclid's algorithm

Highest Common Factor of 803,970,509,855 is 1

Step 1: Since 970 > 803, we apply the division lemma to 970 and 803, to get

970 = 803 x 1 + 167

Step 2: Since the reminder 803 ≠ 0, we apply division lemma to 167 and 803, to get

803 = 167 x 4 + 135

Step 3: We consider the new divisor 167 and the new remainder 135, and apply the division lemma to get

167 = 135 x 1 + 32

We consider the new divisor 135 and the new remainder 32,and apply the division lemma to get

135 = 32 x 4 + 7

We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get

32 = 7 x 4 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 803 and 970 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(135,32) = HCF(167,135) = HCF(803,167) = HCF(970,803) .

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

Step 1: Since 509 > 1, we apply the division lemma to 509 and 1, to get

509 = 1 x 509 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 509 is 1

Notice that 1 = HCF(509,1) .

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

Step 1: Since 855 > 1, we apply the division lemma to 855 and 1, to get

855 = 1 x 855 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 855 is 1

Notice that 1 = HCF(855,1) .

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Frequently Asked Questions on HCF of 803, 970, 509, 855 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 803, 970, 509, 855?

Answer: HCF of 803, 970, 509, 855 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 803, 970, 509, 855 using Euclid's Algorithm?

Answer: For arbitrary numbers 803, 970, 509, 855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.