Highest Common Factor of 333, 740 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 333, 740 i.e. 37 the largest integer that leaves a remainder zero for all numbers.

HCF of 333, 740 is 37 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 333, 740 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 333, 740 is 37.

HCF(333, 740) = 37

HCF of 333, 740 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 333, 740 is 37.

Highest Common Factor of 333,740 using Euclid's algorithm

Highest Common Factor of 333,740 is 37

Step 1: Since 740 > 333, we apply the division lemma to 740 and 333, to get

740 = 333 x 2 + 74

Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 74 and 333, to get

333 = 74 x 4 + 37

Step 3: We consider the new divisor 74 and the new remainder 37, and apply the division lemma to get

74 = 37 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 333 and 740 is 37

Notice that 37 = HCF(74,37) = HCF(333,74) = HCF(740,333) .

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Frequently Asked Questions on HCF of 333, 740 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 333, 740?

Answer: HCF of 333, 740 is 37 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 333, 740 using Euclid's Algorithm?

Answer: For arbitrary numbers 333, 740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.