Highest Common Factor of 421, 712, 966, 246 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 421, 712, 966, 246 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 421, 712, 966, 246 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 421, 712, 966, 246 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 421, 712, 966, 246 is 1.

HCF(421, 712, 966, 246) = 1

HCF of 421, 712, 966, 246 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 421, 712, 966, 246 is 1.

Highest Common Factor of 421,712,966,246 using Euclid's algorithm

Highest Common Factor of 421,712,966,246 is 1

Step 1: Since 712 > 421, we apply the division lemma to 712 and 421, to get

712 = 421 x 1 + 291

Step 2: Since the reminder 421 ≠ 0, we apply division lemma to 291 and 421, to get

421 = 291 x 1 + 130

Step 3: We consider the new divisor 291 and the new remainder 130, and apply the division lemma to get

291 = 130 x 2 + 31

We consider the new divisor 130 and the new remainder 31,and apply the division lemma to get

130 = 31 x 4 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 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 421 and 712 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(130,31) = HCF(291,130) = HCF(421,291) = HCF(712,421) .

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

Step 1: Since 966 > 1, we apply the division lemma to 966 and 1, to get

966 = 1 x 966 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 966 is 1

Notice that 1 = HCF(966,1) .

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

Step 1: Since 246 > 1, we apply the division lemma to 246 and 1, to get

246 = 1 x 246 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 246 is 1

Notice that 1 = HCF(246,1) .

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Frequently Asked Questions on HCF of 421, 712, 966, 246 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 421, 712, 966, 246?

Answer: HCF of 421, 712, 966, 246 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 421, 712, 966, 246 using Euclid's Algorithm?

Answer: For arbitrary numbers 421, 712, 966, 246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.