Highest Common Factor of 650, 883, 472 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 650, 883, 472 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 650, 883, 472 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 650, 883, 472 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 650, 883, 472 is 1.

HCF(650, 883, 472) = 1

HCF of 650, 883, 472 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 650, 883, 472 is 1.

Highest Common Factor of 650,883,472 using Euclid's algorithm

Highest Common Factor of 650,883,472 is 1

Step 1: Since 883 > 650, we apply the division lemma to 883 and 650, to get

883 = 650 x 1 + 233

Step 2: Since the reminder 650 ≠ 0, we apply division lemma to 233 and 650, to get

650 = 233 x 2 + 184

Step 3: We consider the new divisor 233 and the new remainder 184, and apply the division lemma to get

233 = 184 x 1 + 49

We consider the new divisor 184 and the new remainder 49,and apply the division lemma to get

184 = 49 x 3 + 37

We consider the new divisor 49 and the new remainder 37,and apply the division lemma to get

49 = 37 x 1 + 12

We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get

37 = 12 x 3 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 650 and 883 is 1

Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(49,37) = HCF(184,49) = HCF(233,184) = HCF(650,233) = HCF(883,650) .

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

Step 1: Since 472 > 1, we apply the division lemma to 472 and 1, to get

472 = 1 x 472 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 472 is 1

Notice that 1 = HCF(472,1) .

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Frequently Asked Questions on HCF of 650, 883, 472 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 650, 883, 472?

Answer: HCF of 650, 883, 472 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 650, 883, 472 using Euclid's Algorithm?

Answer: For arbitrary numbers 650, 883, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.