Highest Common Factor of 490, 392, 544 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 490, 392, 544 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 392, 544 is 2 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 490, 392, 544 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 490, 392, 544 is 2.

HCF(490, 392, 544) = 2

HCF of 490, 392, 544 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 490, 392, 544 is 2.

Highest Common Factor of 490,392,544 using Euclid's algorithm

Highest Common Factor of 490,392,544 is 2

Step 1: Since 490 > 392, we apply the division lemma to 490 and 392, to get

490 = 392 x 1 + 98

Step 2: Since the reminder 392 ≠ 0, we apply division lemma to 98 and 392, to get

392 = 98 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 98, the HCF of 490 and 392 is 98

Notice that 98 = HCF(392,98) = HCF(490,392) .

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

Step 1: Since 544 > 98, we apply the division lemma to 544 and 98, to get

544 = 98 x 5 + 54

Step 2: Since the reminder 98 ≠ 0, we apply division lemma to 54 and 98, to get

98 = 54 x 1 + 44

Step 3: We consider the new divisor 54 and the new remainder 44, and apply the division lemma to get

54 = 44 x 1 + 10

We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get

44 = 10 x 4 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 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 98 and 544 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(54,44) = HCF(98,54) = HCF(544,98) .

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Frequently Asked Questions on HCF of 490, 392, 544 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 490, 392, 544?

Answer: HCF of 490, 392, 544 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 392, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 392, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.