Highest Common Factor of 917, 747, 113 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 917, 747, 113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 917, 747, 113 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 917, 747, 113 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 917, 747, 113 is 1.

HCF(917, 747, 113) = 1

HCF of 917, 747, 113 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 917, 747, 113 is 1.

Highest Common Factor of 917,747,113 using Euclid's algorithm

Highest Common Factor of 917,747,113 is 1

Step 1: Since 917 > 747, we apply the division lemma to 917 and 747, to get

917 = 747 x 1 + 170

Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 170 and 747, to get

747 = 170 x 4 + 67

Step 3: We consider the new divisor 170 and the new remainder 67, and apply the division lemma to get

170 = 67 x 2 + 36

We consider the new divisor 67 and the new remainder 36,and apply the division lemma to get

67 = 36 x 1 + 31

We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get

36 = 31 x 1 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 747 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(67,36) = HCF(170,67) = HCF(747,170) = HCF(917,747) .

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

Step 1: Since 113 > 1, we apply the division lemma to 113 and 1, to get

113 = 1 x 113 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 113 is 1

Notice that 1 = HCF(113,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 917, 747, 113 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 917, 747, 113?

Answer: HCF of 917, 747, 113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 917, 747, 113 using Euclid's Algorithm?

Answer: For arbitrary numbers 917, 747, 113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.