Highest Common Factor of 701, 985, 337 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 701, 985, 337 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 701, 985, 337 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 701, 985, 337 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 701, 985, 337 is 1.

HCF(701, 985, 337) = 1

HCF of 701, 985, 337 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 701, 985, 337 is 1.

Highest Common Factor of 701,985,337 using Euclid's algorithm

Highest Common Factor of 701,985,337 is 1

Step 1: Since 985 > 701, we apply the division lemma to 985 and 701, to get

985 = 701 x 1 + 284

Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 284 and 701, to get

701 = 284 x 2 + 133

Step 3: We consider the new divisor 284 and the new remainder 133, and apply the division lemma to get

284 = 133 x 2 + 18

We consider the new divisor 133 and the new remainder 18,and apply the division lemma to get

133 = 18 x 7 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 701 and 985 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(133,18) = HCF(284,133) = HCF(701,284) = HCF(985,701) .

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

Step 1: Since 337 > 1, we apply the division lemma to 337 and 1, to get

337 = 1 x 337 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 337 is 1

Notice that 1 = HCF(337,1) .

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Frequently Asked Questions on HCF of 701, 985, 337 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 701, 985, 337?

Answer: HCF of 701, 985, 337 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 701, 985, 337 using Euclid's Algorithm?

Answer: For arbitrary numbers 701, 985, 337 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.