Highest Common Factor of 781, 459, 252 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 781, 459, 252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 781, 459, 252 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 781, 459, 252 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 781, 459, 252 is 1.

HCF(781, 459, 252) = 1

HCF of 781, 459, 252 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 781, 459, 252 is 1.

Highest Common Factor of 781,459,252 using Euclid's algorithm

Highest Common Factor of 781,459,252 is 1

Step 1: Since 781 > 459, we apply the division lemma to 781 and 459, to get

781 = 459 x 1 + 322

Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 322 and 459, to get

459 = 322 x 1 + 137

Step 3: We consider the new divisor 322 and the new remainder 137, and apply the division lemma to get

322 = 137 x 2 + 48

We consider the new divisor 137 and the new remainder 48,and apply the division lemma to get

137 = 48 x 2 + 41

We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get

48 = 41 x 1 + 7

We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get

41 = 7 x 5 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 459 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(137,48) = HCF(322,137) = HCF(459,322) = HCF(781,459) .

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

Step 1: Since 252 > 1, we apply the division lemma to 252 and 1, to get

252 = 1 x 252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 252 is 1

Notice that 1 = HCF(252,1) .

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Frequently Asked Questions on HCF of 781, 459, 252 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 781, 459, 252?

Answer: HCF of 781, 459, 252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 781, 459, 252 using Euclid's Algorithm?

Answer: For arbitrary numbers 781, 459, 252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.