Highest Common Factor of 761, 899, 798 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 761, 899, 798 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 761, 899, 798 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 761, 899, 798 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 761, 899, 798 is 1.

HCF(761, 899, 798) = 1

HCF of 761, 899, 798 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 761, 899, 798 is 1.

Highest Common Factor of 761,899,798 using Euclid's algorithm

Highest Common Factor of 761,899,798 is 1

Step 1: Since 899 > 761, we apply the division lemma to 899 and 761, to get

899 = 761 x 1 + 138

Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 138 and 761, to get

761 = 138 x 5 + 71

Step 3: We consider the new divisor 138 and the new remainder 71, and apply the division lemma to get

138 = 71 x 1 + 67

We consider the new divisor 71 and the new remainder 67,and apply the division lemma to get

71 = 67 x 1 + 4

We consider the new divisor 67 and the new remainder 4,and apply the division lemma to get

67 = 4 x 16 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 761 and 899 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(67,4) = HCF(71,67) = HCF(138,71) = HCF(761,138) = HCF(899,761) .

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

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

798 = 1 x 798 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 798 is 1

Notice that 1 = HCF(798,1) .

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Frequently Asked Questions on HCF of 761, 899, 798 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 761, 899, 798?

Answer: HCF of 761, 899, 798 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 761, 899, 798 using Euclid's Algorithm?

Answer: For arbitrary numbers 761, 899, 798 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.