Highest Common Factor of 733, 927, 974 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 733, 927, 974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 733, 927, 974 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 733, 927, 974 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 733, 927, 974 is 1.

HCF(733, 927, 974) = 1

HCF of 733, 927, 974 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 733, 927, 974 is 1.

Highest Common Factor of 733,927,974 using Euclid's algorithm

Highest Common Factor of 733,927,974 is 1

Step 1: Since 927 > 733, we apply the division lemma to 927 and 733, to get

927 = 733 x 1 + 194

Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 194 and 733, to get

733 = 194 x 3 + 151

Step 3: We consider the new divisor 194 and the new remainder 151, and apply the division lemma to get

194 = 151 x 1 + 43

We consider the new divisor 151 and the new remainder 43,and apply the division lemma to get

151 = 43 x 3 + 22

We consider the new divisor 43 and the new remainder 22,and apply the division lemma to get

43 = 22 x 1 + 21

We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get

22 = 21 x 1 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 927 is 1

Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(151,43) = HCF(194,151) = HCF(733,194) = HCF(927,733) .

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

Step 1: Since 974 > 1, we apply the division lemma to 974 and 1, to get

974 = 1 x 974 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 974 is 1

Notice that 1 = HCF(974,1) .

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Frequently Asked Questions on HCF of 733, 927, 974 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 733, 927, 974?

Answer: HCF of 733, 927, 974 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 733, 927, 974 using Euclid's Algorithm?

Answer: For arbitrary numbers 733, 927, 974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.