Highest Common Factor of 412, 761, 750 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 412, 761, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 412, 761, 750 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 412, 761, 750 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 412, 761, 750 is 1.

HCF(412, 761, 750) = 1

HCF of 412, 761, 750 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 412, 761, 750 is 1.

Highest Common Factor of 412,761,750 using Euclid's algorithm

Highest Common Factor of 412,761,750 is 1

Step 1: Since 761 > 412, we apply the division lemma to 761 and 412, to get

761 = 412 x 1 + 349

Step 2: Since the reminder 412 ≠ 0, we apply division lemma to 349 and 412, to get

412 = 349 x 1 + 63

Step 3: We consider the new divisor 349 and the new remainder 63, and apply the division lemma to get

349 = 63 x 5 + 34

We consider the new divisor 63 and the new remainder 34,and apply the division lemma to get

63 = 34 x 1 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 412 and 761 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(349,63) = HCF(412,349) = HCF(761,412) .

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

Step 1: Since 750 > 1, we apply the division lemma to 750 and 1, to get

750 = 1 x 750 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 750 is 1

Notice that 1 = HCF(750,1) .

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Frequently Asked Questions on HCF of 412, 761, 750 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 412, 761, 750?

Answer: HCF of 412, 761, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 412, 761, 750 using Euclid's Algorithm?

Answer: For arbitrary numbers 412, 761, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.