Highest Common Factor of 877, 3842, 2235 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 877, 3842, 2235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 3842, 2235 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 877, 3842, 2235 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 877, 3842, 2235 is 1.

HCF(877, 3842, 2235) = 1

HCF of 877, 3842, 2235 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 877, 3842, 2235 is 1.

Highest Common Factor of 877,3842,2235 using Euclid's algorithm

Highest Common Factor of 877,3842,2235 is 1

Step 1: Since 3842 > 877, we apply the division lemma to 3842 and 877, to get

3842 = 877 x 4 + 334

Step 2: Since the reminder 877 ≠ 0, we apply division lemma to 334 and 877, to get

877 = 334 x 2 + 209

Step 3: We consider the new divisor 334 and the new remainder 209, and apply the division lemma to get

334 = 209 x 1 + 125

We consider the new divisor 209 and the new remainder 125,and apply the division lemma to get

209 = 125 x 1 + 84

We consider the new divisor 125 and the new remainder 84,and apply the division lemma to get

125 = 84 x 1 + 41

We consider the new divisor 84 and the new remainder 41,and apply the division lemma to get

84 = 41 x 2 + 2

We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get

41 = 2 x 20 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 3842 is 1

Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(84,41) = HCF(125,84) = HCF(209,125) = HCF(334,209) = HCF(877,334) = HCF(3842,877) .

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

Step 1: Since 2235 > 1, we apply the division lemma to 2235 and 1, to get

2235 = 1 x 2235 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2235 is 1

Notice that 1 = HCF(2235,1) .

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Frequently Asked Questions on HCF of 877, 3842, 2235 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 877, 3842, 2235?

Answer: HCF of 877, 3842, 2235 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 3842, 2235 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 3842, 2235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.