Highest Common Factor of 682, 883, 874 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 682, 883, 874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 682, 883, 874 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 682, 883, 874 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 682, 883, 874 is 1.

HCF(682, 883, 874) = 1

HCF of 682, 883, 874 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 682, 883, 874 is 1.

Highest Common Factor of 682,883,874 using Euclid's algorithm

Highest Common Factor of 682,883,874 is 1

Step 1: Since 883 > 682, we apply the division lemma to 883 and 682, to get

883 = 682 x 1 + 201

Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 201 and 682, to get

682 = 201 x 3 + 79

Step 3: We consider the new divisor 201 and the new remainder 79, and apply the division lemma to get

201 = 79 x 2 + 43

We consider the new divisor 79 and the new remainder 43,and apply the division lemma to get

79 = 43 x 1 + 36

We consider the new divisor 43 and the new remainder 36,and apply the division lemma to get

43 = 36 x 1 + 7

We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get

36 = 7 x 5 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 682 and 883 is 1

Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(43,36) = HCF(79,43) = HCF(201,79) = HCF(682,201) = HCF(883,682) .

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

Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get

874 = 1 x 874 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1

Notice that 1 = HCF(874,1) .

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Frequently Asked Questions on HCF of 682, 883, 874 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 682, 883, 874?

Answer: HCF of 682, 883, 874 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 682, 883, 874 using Euclid's Algorithm?

Answer: For arbitrary numbers 682, 883, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.