# Highest Common Factor of 490, 588, 882 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 490, 588, 882 i.e. 98 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 588, 882 is 98 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, 588, 882 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, 588, 882 is 98.

HCF(490, 588, 882) = 98

## HCF of 490, 588, 882 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, 588, 882 is 98.

### Highest Common Factor of 490,588,882 using Euclid's algorithm

Step 1: Since 588 > 490, we apply the division lemma to 588 and 490, to get

588 = 490 x 1 + 98

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 98 and 490, to get

490 = 98 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 98, the HCF of 490 and 588 is 98

Notice that 98 = HCF(490,98) = HCF(588,490) .

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

Step 1: Since 882 > 98, we apply the division lemma to 882 and 98, to get

882 = 98 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 98, the HCF of 98 and 882 is 98

Notice that 98 = HCF(882,98) .

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### Frequently Asked Questions on HCF of 490, 588, 882 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, 588, 882?

Answer: HCF of 490, 588, 882 is 98 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 588, 882 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 588, 882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.