Highest Common Factor of 835, 503, 770 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 835, 503, 770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 503, 770 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 835, 503, 770 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 835, 503, 770 is 1.

HCF(835, 503, 770) = 1

HCF of 835, 503, 770 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 835, 503, 770 is 1.

Highest Common Factor of 835,503,770 using Euclid's algorithm

Highest Common Factor of 835,503,770 is 1

Step 1: Since 835 > 503, we apply the division lemma to 835 and 503, to get

835 = 503 x 1 + 332

Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 332 and 503, to get

503 = 332 x 1 + 171

Step 3: We consider the new divisor 332 and the new remainder 171, and apply the division lemma to get

332 = 171 x 1 + 161

We consider the new divisor 171 and the new remainder 161,and apply the division lemma to get

171 = 161 x 1 + 10

We consider the new divisor 161 and the new remainder 10,and apply the division lemma to get

161 = 10 x 16 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 503 is 1

Notice that 1 = HCF(10,1) = HCF(161,10) = HCF(171,161) = HCF(332,171) = HCF(503,332) = HCF(835,503) .

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

Step 1: Since 770 > 1, we apply the division lemma to 770 and 1, to get

770 = 1 x 770 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 770 is 1

Notice that 1 = HCF(770,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 835, 503, 770 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 835, 503, 770?

Answer: HCF of 835, 503, 770 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 503, 770 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 503, 770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.