Highest Common Factor of 798, 919, 827 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 798, 919, 827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 798, 919, 827 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 798, 919, 827 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 798, 919, 827 is 1.

HCF(798, 919, 827) = 1

HCF of 798, 919, 827 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 798, 919, 827 is 1.

Highest Common Factor of 798,919,827 using Euclid's algorithm

Highest Common Factor of 798,919,827 is 1

Step 1: Since 919 > 798, we apply the division lemma to 919 and 798, to get

919 = 798 x 1 + 121

Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 121 and 798, to get

798 = 121 x 6 + 72

Step 3: We consider the new divisor 121 and the new remainder 72, and apply the division lemma to get

121 = 72 x 1 + 49

We consider the new divisor 72 and the new remainder 49,and apply the division lemma to get

72 = 49 x 1 + 23

We consider the new divisor 49 and the new remainder 23,and apply the division lemma to get

49 = 23 x 2 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 798 and 919 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(49,23) = HCF(72,49) = HCF(121,72) = HCF(798,121) = HCF(919,798) .

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

Step 1: Since 827 > 1, we apply the division lemma to 827 and 1, to get

827 = 1 x 827 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 827 is 1

Notice that 1 = HCF(827,1) .

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Frequently Asked Questions on HCF of 798, 919, 827 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 798, 919, 827?

Answer: HCF of 798, 919, 827 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 798, 919, 827 using Euclid's Algorithm?

Answer: For arbitrary numbers 798, 919, 827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.