Highest Common Factor of 965, 798, 896, 40 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 965, 798, 896, 40 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 965, 798, 896, 40 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 965, 798, 896, 40 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 965, 798, 896, 40 is 1.

HCF(965, 798, 896, 40) = 1

HCF of 965, 798, 896, 40 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 965, 798, 896, 40 is 1.

Highest Common Factor of 965,798,896,40 using Euclid's algorithm

Highest Common Factor of 965,798,896,40 is 1

Step 1: Since 965 > 798, we apply the division lemma to 965 and 798, to get

965 = 798 x 1 + 167

Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 167 and 798, to get

798 = 167 x 4 + 130

Step 3: We consider the new divisor 167 and the new remainder 130, and apply the division lemma to get

167 = 130 x 1 + 37

We consider the new divisor 130 and the new remainder 37,and apply the division lemma to get

130 = 37 x 3 + 19

We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get

37 = 19 x 1 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 965 and 798 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(130,37) = HCF(167,130) = HCF(798,167) = HCF(965,798) .

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

Step 1: Since 896 > 1, we apply the division lemma to 896 and 1, to get

896 = 1 x 896 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 896 is 1

Notice that 1 = HCF(896,1) .

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

Step 1: Since 40 > 1, we apply the division lemma to 40 and 1, to get

40 = 1 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40 is 1

Notice that 1 = HCF(40,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 965, 798, 896, 40 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 965, 798, 896, 40?

Answer: HCF of 965, 798, 896, 40 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 965, 798, 896, 40 using Euclid's Algorithm?

Answer: For arbitrary numbers 965, 798, 896, 40 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.