Highest Common Factor of 703, 437, 876 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 703, 437, 876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 703, 437, 876 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 703, 437, 876 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 703, 437, 876 is 1.

HCF(703, 437, 876) = 1

HCF of 703, 437, 876 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 703, 437, 876 is 1.

Highest Common Factor of 703,437,876 using Euclid's algorithm

Highest Common Factor of 703,437,876 is 1

Step 1: Since 703 > 437, we apply the division lemma to 703 and 437, to get

703 = 437 x 1 + 266

Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 266 and 437, to get

437 = 266 x 1 + 171

Step 3: We consider the new divisor 266 and the new remainder 171, and apply the division lemma to get

266 = 171 x 1 + 95

We consider the new divisor 171 and the new remainder 95,and apply the division lemma to get

171 = 95 x 1 + 76

We consider the new divisor 95 and the new remainder 76,and apply the division lemma to get

95 = 76 x 1 + 19

We consider the new divisor 76 and the new remainder 19,and apply the division lemma to get

76 = 19 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 703 and 437 is 19

Notice that 19 = HCF(76,19) = HCF(95,76) = HCF(171,95) = HCF(266,171) = HCF(437,266) = HCF(703,437) .

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

Step 1: Since 876 > 19, we apply the division lemma to 876 and 19, to get

876 = 19 x 46 + 2

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 2 and 19, to get

19 = 2 x 9 + 1

Step 3: 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 19 and 876 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(876,19) .

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Frequently Asked Questions on HCF of 703, 437, 876 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 703, 437, 876?

Answer: HCF of 703, 437, 876 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 703, 437, 876 using Euclid's Algorithm?

Answer: For arbitrary numbers 703, 437, 876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.