Highest Common Factor of 883, 654, 930 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 883, 654, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 883, 654, 930 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 883, 654, 930 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 883, 654, 930 is 1.

HCF(883, 654, 930) = 1

HCF of 883, 654, 930 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 883, 654, 930 is 1.

Highest Common Factor of 883,654,930 using Euclid's algorithm

Highest Common Factor of 883,654,930 is 1

Step 1: Since 883 > 654, we apply the division lemma to 883 and 654, to get

883 = 654 x 1 + 229

Step 2: Since the reminder 654 ≠ 0, we apply division lemma to 229 and 654, to get

654 = 229 x 2 + 196

Step 3: We consider the new divisor 229 and the new remainder 196, and apply the division lemma to get

229 = 196 x 1 + 33

We consider the new divisor 196 and the new remainder 33,and apply the division lemma to get

196 = 33 x 5 + 31

We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get

33 = 31 x 1 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 883 and 654 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(196,33) = HCF(229,196) = HCF(654,229) = HCF(883,654) .

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

Step 1: Since 930 > 1, we apply the division lemma to 930 and 1, to get

930 = 1 x 930 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 930 is 1

Notice that 1 = HCF(930,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 883, 654, 930 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 883, 654, 930?

Answer: HCF of 883, 654, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 883, 654, 930 using Euclid's Algorithm?

Answer: For arbitrary numbers 883, 654, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.