Highest Common Factor of 625, 378, 47 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 625, 378, 47 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 378, 47 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 625, 378, 47 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 625, 378, 47 is 1.

HCF(625, 378, 47) = 1

HCF of 625, 378, 47 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 625, 378, 47 is 1.

Highest Common Factor of 625,378,47 using Euclid's algorithm

Highest Common Factor of 625,378,47 is 1

Step 1: Since 625 > 378, we apply the division lemma to 625 and 378, to get

625 = 378 x 1 + 247

Step 2: Since the reminder 378 ≠ 0, we apply division lemma to 247 and 378, to get

378 = 247 x 1 + 131

Step 3: We consider the new divisor 247 and the new remainder 131, and apply the division lemma to get

247 = 131 x 1 + 116

We consider the new divisor 131 and the new remainder 116,and apply the division lemma to get

131 = 116 x 1 + 15

We consider the new divisor 116 and the new remainder 15,and apply the division lemma to get

116 = 15 x 7 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 625 and 378 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(116,15) = HCF(131,116) = HCF(247,131) = HCF(378,247) = HCF(625,378) .

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

Step 1: Since 47 > 1, we apply the division lemma to 47 and 1, to get

47 = 1 x 47 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47 is 1

Notice that 1 = HCF(47,1) .

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Frequently Asked Questions on HCF of 625, 378, 47 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 625, 378, 47?

Answer: HCF of 625, 378, 47 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 378, 47 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 378, 47 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.