Highest Common Factor of 548, 761, 398 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 548, 761, 398 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 761, 398 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 548, 761, 398 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 548, 761, 398 is 1.

HCF(548, 761, 398) = 1

HCF of 548, 761, 398 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 548, 761, 398 is 1.

Highest Common Factor of 548,761,398 using Euclid's algorithm

Highest Common Factor of 548,761,398 is 1

Step 1: Since 761 > 548, we apply the division lemma to 761 and 548, to get

761 = 548 x 1 + 213

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 213 and 548, to get

548 = 213 x 2 + 122

Step 3: We consider the new divisor 213 and the new remainder 122, and apply the division lemma to get

213 = 122 x 1 + 91

We consider the new divisor 122 and the new remainder 91,and apply the division lemma to get

122 = 91 x 1 + 31

We consider the new divisor 91 and the new remainder 31,and apply the division lemma to get

91 = 31 x 2 + 29

We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get

31 = 29 x 1 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 548 and 761 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(91,31) = HCF(122,91) = HCF(213,122) = HCF(548,213) = HCF(761,548) .

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

Step 1: Since 398 > 1, we apply the division lemma to 398 and 1, to get

398 = 1 x 398 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 398 is 1

Notice that 1 = HCF(398,1) .

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Frequently Asked Questions on HCF of 548, 761, 398 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 548, 761, 398?

Answer: HCF of 548, 761, 398 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 761, 398 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 761, 398 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.