Highest Common Factor of 907, 538, 370 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 907, 538, 370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 907, 538, 370 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 907, 538, 370 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 907, 538, 370 is 1.

HCF(907, 538, 370) = 1

HCF of 907, 538, 370 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 907, 538, 370 is 1.

Highest Common Factor of 907,538,370 using Euclid's algorithm

Highest Common Factor of 907,538,370 is 1

Step 1: Since 907 > 538, we apply the division lemma to 907 and 538, to get

907 = 538 x 1 + 369

Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 369 and 538, to get

538 = 369 x 1 + 169

Step 3: We consider the new divisor 369 and the new remainder 169, and apply the division lemma to get

369 = 169 x 2 + 31

We consider the new divisor 169 and the new remainder 31,and apply the division lemma to get

169 = 31 x 5 + 14

We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get

31 = 14 x 2 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 907 and 538 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(169,31) = HCF(369,169) = HCF(538,369) = HCF(907,538) .

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

Step 1: Since 370 > 1, we apply the division lemma to 370 and 1, to get

370 = 1 x 370 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 370 is 1

Notice that 1 = HCF(370,1) .

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Frequently Asked Questions on HCF of 907, 538, 370 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 907, 538, 370?

Answer: HCF of 907, 538, 370 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 907, 538, 370 using Euclid's Algorithm?

Answer: For arbitrary numbers 907, 538, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.