Highest Common Factor of 319, 527, 747 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 319, 527, 747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 319, 527, 747 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 319, 527, 747 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 319, 527, 747 is 1.

HCF(319, 527, 747) = 1

HCF of 319, 527, 747 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 319, 527, 747 is 1.

Highest Common Factor of 319,527,747 using Euclid's algorithm

Highest Common Factor of 319,527,747 is 1

Step 1: Since 527 > 319, we apply the division lemma to 527 and 319, to get

527 = 319 x 1 + 208

Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 208 and 319, to get

319 = 208 x 1 + 111

Step 3: We consider the new divisor 208 and the new remainder 111, and apply the division lemma to get

208 = 111 x 1 + 97

We consider the new divisor 111 and the new remainder 97,and apply the division lemma to get

111 = 97 x 1 + 14

We consider the new divisor 97 and the new remainder 14,and apply the division lemma to get

97 = 14 x 6 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 319 and 527 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(97,14) = HCF(111,97) = HCF(208,111) = HCF(319,208) = HCF(527,319) .

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

Step 1: Since 747 > 1, we apply the division lemma to 747 and 1, to get

747 = 1 x 747 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 747 is 1

Notice that 1 = HCF(747,1) .

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Frequently Asked Questions on HCF of 319, 527, 747 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 319, 527, 747?

Answer: HCF of 319, 527, 747 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 319, 527, 747 using Euclid's Algorithm?

Answer: For arbitrary numbers 319, 527, 747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.