Highest Common Factor of 307, 524, 147 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 307, 524, 147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 307, 524, 147 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 307, 524, 147 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 307, 524, 147 is 1.

HCF(307, 524, 147) = 1

HCF of 307, 524, 147 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 307, 524, 147 is 1.

Highest Common Factor of 307,524,147 using Euclid's algorithm

Highest Common Factor of 307,524,147 is 1

Step 1: Since 524 > 307, we apply the division lemma to 524 and 307, to get

524 = 307 x 1 + 217

Step 2: Since the reminder 307 ≠ 0, we apply division lemma to 217 and 307, to get

307 = 217 x 1 + 90

Step 3: We consider the new divisor 217 and the new remainder 90, and apply the division lemma to get

217 = 90 x 2 + 37

We consider the new divisor 90 and the new remainder 37,and apply the division lemma to get

90 = 37 x 2 + 16

We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get

37 = 16 x 2 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 307 and 524 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(90,37) = HCF(217,90) = HCF(307,217) = HCF(524,307) .

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

Step 1: Since 147 > 1, we apply the division lemma to 147 and 1, to get

147 = 1 x 147 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 147 is 1

Notice that 1 = HCF(147,1) .

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Frequently Asked Questions on HCF of 307, 524, 147 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 307, 524, 147?

Answer: HCF of 307, 524, 147 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 307, 524, 147 using Euclid's Algorithm?

Answer: For arbitrary numbers 307, 524, 147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.