Highest Common Factor of 492, 313, 551 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 492, 313, 551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 492, 313, 551 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 492, 313, 551 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 492, 313, 551 is 1.

HCF(492, 313, 551) = 1

HCF of 492, 313, 551 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 492, 313, 551 is 1.

Highest Common Factor of 492,313,551 using Euclid's algorithm

Highest Common Factor of 492,313,551 is 1

Step 1: Since 492 > 313, we apply the division lemma to 492 and 313, to get

492 = 313 x 1 + 179

Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 179 and 313, to get

313 = 179 x 1 + 134

Step 3: We consider the new divisor 179 and the new remainder 134, and apply the division lemma to get

179 = 134 x 1 + 45

We consider the new divisor 134 and the new remainder 45,and apply the division lemma to get

134 = 45 x 2 + 44

We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get

45 = 44 x 1 + 1

We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get

44 = 1 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 492 and 313 is 1

Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(134,45) = HCF(179,134) = HCF(313,179) = HCF(492,313) .

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

Step 1: Since 551 > 1, we apply the division lemma to 551 and 1, to get

551 = 1 x 551 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 551 is 1

Notice that 1 = HCF(551,1) .

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Frequently Asked Questions on HCF of 492, 313, 551 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 492, 313, 551?

Answer: HCF of 492, 313, 551 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 492, 313, 551 using Euclid's Algorithm?

Answer: For arbitrary numbers 492, 313, 551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.