Highest Common Factor of 3761, 8730, 12863 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 3761, 8730, 12863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3761, 8730, 12863 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 3761, 8730, 12863 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 3761, 8730, 12863 is 1.

HCF(3761, 8730, 12863) = 1

HCF of 3761, 8730, 12863 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 3761, 8730, 12863 is 1.

Highest Common Factor of 3761,8730,12863 using Euclid's algorithm

Highest Common Factor of 3761,8730,12863 is 1

Step 1: Since 8730 > 3761, we apply the division lemma to 8730 and 3761, to get

8730 = 3761 x 2 + 1208

Step 2: Since the reminder 3761 ≠ 0, we apply division lemma to 1208 and 3761, to get

3761 = 1208 x 3 + 137

Step 3: We consider the new divisor 1208 and the new remainder 137, and apply the division lemma to get

1208 = 137 x 8 + 112

We consider the new divisor 137 and the new remainder 112,and apply the division lemma to get

137 = 112 x 1 + 25

We consider the new divisor 112 and the new remainder 25,and apply the division lemma to get

112 = 25 x 4 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3761 and 8730 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(112,25) = HCF(137,112) = HCF(1208,137) = HCF(3761,1208) = HCF(8730,3761) .

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

Step 1: Since 12863 > 1, we apply the division lemma to 12863 and 1, to get

12863 = 1 x 12863 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12863 is 1

Notice that 1 = HCF(12863,1) .

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Frequently Asked Questions on HCF of 3761, 8730, 12863 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 3761, 8730, 12863?

Answer: HCF of 3761, 8730, 12863 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3761, 8730, 12863 using Euclid's Algorithm?

Answer: For arbitrary numbers 3761, 8730, 12863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.