Highest Common Factor of 780, 446 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 780, 446 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 780, 446 is 2 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 780, 446 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 780, 446 is 2.

HCF(780, 446) = 2

HCF of 780, 446 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 780, 446 is 2.

Highest Common Factor of 780,446 using Euclid's algorithm

Highest Common Factor of 780,446 is 2

Step 1: Since 780 > 446, we apply the division lemma to 780 and 446, to get

780 = 446 x 1 + 334

Step 2: Since the reminder 446 ≠ 0, we apply division lemma to 334 and 446, to get

446 = 334 x 1 + 112

Step 3: We consider the new divisor 334 and the new remainder 112, and apply the division lemma to get

334 = 112 x 2 + 110

We consider the new divisor 112 and the new remainder 110,and apply the division lemma to get

112 = 110 x 1 + 2

We consider the new divisor 110 and the new remainder 2,and apply the division lemma to get

110 = 2 x 55 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 780 and 446 is 2

Notice that 2 = HCF(110,2) = HCF(112,110) = HCF(334,112) = HCF(446,334) = HCF(780,446) .

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Frequently Asked Questions on HCF of 780, 446 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 780, 446?

Answer: HCF of 780, 446 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 780, 446 using Euclid's Algorithm?

Answer: For arbitrary numbers 780, 446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.