Highest Common Factor of 830, 907 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 830, 907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 830, 907 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 830, 907 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 830, 907 is 1.

HCF(830, 907) = 1

HCF of 830, 907 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 830, 907 is 1.

Highest Common Factor of 830,907 using Euclid's algorithm

Highest Common Factor of 830,907 is 1

Step 1: Since 907 > 830, we apply the division lemma to 907 and 830, to get

907 = 830 x 1 + 77

Step 2: Since the reminder 830 ≠ 0, we apply division lemma to 77 and 830, to get

830 = 77 x 10 + 60

Step 3: We consider the new divisor 77 and the new remainder 60, and apply the division lemma to get

77 = 60 x 1 + 17

We consider the new divisor 60 and the new remainder 17,and apply the division lemma to get

60 = 17 x 3 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 830 and 907 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(60,17) = HCF(77,60) = HCF(830,77) = HCF(907,830) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 830, 907 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 830, 907?

Answer: HCF of 830, 907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 830, 907 using Euclid's Algorithm?

Answer: For arbitrary numbers 830, 907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.