Highest Common Factor of 555, 1312, 5212 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 555, 1312, 5212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 555, 1312, 5212 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 555, 1312, 5212 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 555, 1312, 5212 is 1.

HCF(555, 1312, 5212) = 1

HCF of 555, 1312, 5212 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 555, 1312, 5212 is 1.

Highest Common Factor of 555,1312,5212 using Euclid's algorithm

Highest Common Factor of 555,1312,5212 is 1

Step 1: Since 1312 > 555, we apply the division lemma to 1312 and 555, to get

1312 = 555 x 2 + 202

Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 202 and 555, to get

555 = 202 x 2 + 151

Step 3: We consider the new divisor 202 and the new remainder 151, and apply the division lemma to get

202 = 151 x 1 + 51

We consider the new divisor 151 and the new remainder 51,and apply the division lemma to get

151 = 51 x 2 + 49

We consider the new divisor 51 and the new remainder 49,and apply the division lemma to get

51 = 49 x 1 + 2

We consider the new divisor 49 and the new remainder 2,and apply the division lemma to get

49 = 2 x 24 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 555 and 1312 is 1

Notice that 1 = HCF(2,1) = HCF(49,2) = HCF(51,49) = HCF(151,51) = HCF(202,151) = HCF(555,202) = HCF(1312,555) .

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

Step 1: Since 5212 > 1, we apply the division lemma to 5212 and 1, to get

5212 = 1 x 5212 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5212 is 1

Notice that 1 = HCF(5212,1) .

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Frequently Asked Questions on HCF of 555, 1312, 5212 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 555, 1312, 5212?

Answer: HCF of 555, 1312, 5212 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 555, 1312, 5212 using Euclid's Algorithm?

Answer: For arbitrary numbers 555, 1312, 5212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.