Highest Common Factor of 1255, 3412, 78881 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 1255, 3412, 78881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1255, 3412, 78881 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 1255, 3412, 78881 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 1255, 3412, 78881 is 1.

HCF(1255, 3412, 78881) = 1

HCF of 1255, 3412, 78881 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 1255, 3412, 78881 is 1.

Highest Common Factor of 1255,3412,78881 using Euclid's algorithm

Highest Common Factor of 1255,3412,78881 is 1

Step 1: Since 3412 > 1255, we apply the division lemma to 3412 and 1255, to get

3412 = 1255 x 2 + 902

Step 2: Since the reminder 1255 ≠ 0, we apply division lemma to 902 and 1255, to get

1255 = 902 x 1 + 353

Step 3: We consider the new divisor 902 and the new remainder 353, and apply the division lemma to get

902 = 353 x 2 + 196

We consider the new divisor 353 and the new remainder 196,and apply the division lemma to get

353 = 196 x 1 + 157

We consider the new divisor 196 and the new remainder 157,and apply the division lemma to get

196 = 157 x 1 + 39

We consider the new divisor 157 and the new remainder 39,and apply the division lemma to get

157 = 39 x 4 + 1

We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get

39 = 1 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1255 and 3412 is 1

Notice that 1 = HCF(39,1) = HCF(157,39) = HCF(196,157) = HCF(353,196) = HCF(902,353) = HCF(1255,902) = HCF(3412,1255) .

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

Step 1: Since 78881 > 1, we apply the division lemma to 78881 and 1, to get

78881 = 1 x 78881 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78881 is 1

Notice that 1 = HCF(78881,1) .

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Frequently Asked Questions on HCF of 1255, 3412, 78881 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 1255, 3412, 78881?

Answer: HCF of 1255, 3412, 78881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1255, 3412, 78881 using Euclid's Algorithm?

Answer: For arbitrary numbers 1255, 3412, 78881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.