Highest Common Factor of 597, 974, 252 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 597, 974, 252 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 597, 974, 252 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 597, 974, 252 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 597, 974, 252 is 1.

HCF(597, 974, 252) = 1

HCF of 597, 974, 252 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 597, 974, 252 is 1.

Highest Common Factor of 597,974,252 using Euclid's algorithm

Highest Common Factor of 597,974,252 is 1

Step 1: Since 974 > 597, we apply the division lemma to 974 and 597, to get

974 = 597 x 1 + 377

Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 377 and 597, to get

597 = 377 x 1 + 220

Step 3: We consider the new divisor 377 and the new remainder 220, and apply the division lemma to get

377 = 220 x 1 + 157

We consider the new divisor 220 and the new remainder 157,and apply the division lemma to get

220 = 157 x 1 + 63

We consider the new divisor 157 and the new remainder 63,and apply the division lemma to get

157 = 63 x 2 + 31

We consider the new divisor 63 and the new remainder 31,and apply the division lemma to get

63 = 31 x 2 + 1

We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get

31 = 1 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 597 and 974 is 1

Notice that 1 = HCF(31,1) = HCF(63,31) = HCF(157,63) = HCF(220,157) = HCF(377,220) = HCF(597,377) = HCF(974,597) .

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

Step 1: Since 252 > 1, we apply the division lemma to 252 and 1, to get

252 = 1 x 252 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 252 is 1

Notice that 1 = HCF(252,1) .

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Frequently Asked Questions on HCF of 597, 974, 252 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 597, 974, 252?

Answer: HCF of 597, 974, 252 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 597, 974, 252 using Euclid's Algorithm?

Answer: For arbitrary numbers 597, 974, 252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.