Highest Common Factor of 854, 601, 373 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 854, 601, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 854, 601, 373 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 854, 601, 373 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 854, 601, 373 is 1.

HCF(854, 601, 373) = 1

HCF of 854, 601, 373 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 854, 601, 373 is 1.

Highest Common Factor of 854,601,373 using Euclid's algorithm

Highest Common Factor of 854,601,373 is 1

Step 1: Since 854 > 601, we apply the division lemma to 854 and 601, to get

854 = 601 x 1 + 253

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 253 and 601, to get

601 = 253 x 2 + 95

Step 3: We consider the new divisor 253 and the new remainder 95, and apply the division lemma to get

253 = 95 x 2 + 63

We consider the new divisor 95 and the new remainder 63,and apply the division lemma to get

95 = 63 x 1 + 32

We consider the new divisor 63 and the new remainder 32,and apply the division lemma to get

63 = 32 x 1 + 31

We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get

32 = 31 x 1 + 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 854 and 601 is 1

Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(63,32) = HCF(95,63) = HCF(253,95) = HCF(601,253) = HCF(854,601) .

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

Step 1: Since 373 > 1, we apply the division lemma to 373 and 1, to get

373 = 1 x 373 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 373 is 1

Notice that 1 = HCF(373,1) .

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Frequently Asked Questions on HCF of 854, 601, 373 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 854, 601, 373?

Answer: HCF of 854, 601, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 854, 601, 373 using Euclid's Algorithm?

Answer: For arbitrary numbers 854, 601, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.