Highest Common Factor of 902, 557, 786 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 902, 557, 786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 902, 557, 786 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 902, 557, 786 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 902, 557, 786 is 1.

HCF(902, 557, 786) = 1

HCF of 902, 557, 786 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 902, 557, 786 is 1.

Highest Common Factor of 902,557,786 using Euclid's algorithm

Highest Common Factor of 902,557,786 is 1

Step 1: Since 902 > 557, we apply the division lemma to 902 and 557, to get

902 = 557 x 1 + 345

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 345 and 557, to get

557 = 345 x 1 + 212

Step 3: We consider the new divisor 345 and the new remainder 212, and apply the division lemma to get

345 = 212 x 1 + 133

We consider the new divisor 212 and the new remainder 133,and apply the division lemma to get

212 = 133 x 1 + 79

We consider the new divisor 133 and the new remainder 79,and apply the division lemma to get

133 = 79 x 1 + 54

We consider the new divisor 79 and the new remainder 54,and apply the division lemma to get

79 = 54 x 1 + 25

We consider the new divisor 54 and the new remainder 25,and apply the division lemma to get

54 = 25 x 2 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 902 and 557 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(54,25) = HCF(79,54) = HCF(133,79) = HCF(212,133) = HCF(345,212) = HCF(557,345) = HCF(902,557) .

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

Step 1: Since 786 > 1, we apply the division lemma to 786 and 1, to get

786 = 1 x 786 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 786 is 1

Notice that 1 = HCF(786,1) .

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Frequently Asked Questions on HCF of 902, 557, 786 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 902, 557, 786?

Answer: HCF of 902, 557, 786 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 902, 557, 786 using Euclid's Algorithm?

Answer: For arbitrary numbers 902, 557, 786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.