Highest Common Factor of 556, 942, 266, 903 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 556, 942, 266, 903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 556, 942, 266, 903 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 556, 942, 266, 903 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 556, 942, 266, 903 is 1.

HCF(556, 942, 266, 903) = 1

HCF of 556, 942, 266, 903 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 556, 942, 266, 903 is 1.

Highest Common Factor of 556,942,266,903 using Euclid's algorithm

Highest Common Factor of 556,942,266,903 is 1

Step 1: Since 942 > 556, we apply the division lemma to 942 and 556, to get

942 = 556 x 1 + 386

Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 386 and 556, to get

556 = 386 x 1 + 170

Step 3: We consider the new divisor 386 and the new remainder 170, and apply the division lemma to get

386 = 170 x 2 + 46

We consider the new divisor 170 and the new remainder 46,and apply the division lemma to get

170 = 46 x 3 + 32

We consider the new divisor 46 and the new remainder 32,and apply the division lemma to get

46 = 32 x 1 + 14

We consider the new divisor 32 and the new remainder 14,and apply the division lemma to get

32 = 14 x 2 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 556 and 942 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(32,14) = HCF(46,32) = HCF(170,46) = HCF(386,170) = HCF(556,386) = HCF(942,556) .

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

Step 1: Since 266 > 2, we apply the division lemma to 266 and 2, to get

266 = 2 x 133 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 266 is 2

Notice that 2 = HCF(266,2) .

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

Step 1: Since 903 > 2, we apply the division lemma to 903 and 2, to get

903 = 2 x 451 + 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 903 is 1

Notice that 1 = HCF(2,1) = HCF(903,2) .

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Frequently Asked Questions on HCF of 556, 942, 266, 903 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 556, 942, 266, 903?

Answer: HCF of 556, 942, 266, 903 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 556, 942, 266, 903 using Euclid's Algorithm?

Answer: For arbitrary numbers 556, 942, 266, 903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.