Highest Common Factor of 693, 985, 674, 727 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 693, 985, 674, 727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 693, 985, 674, 727 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 693, 985, 674, 727 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 693, 985, 674, 727 is 1.

HCF(693, 985, 674, 727) = 1

HCF of 693, 985, 674, 727 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 693, 985, 674, 727 is 1.

Highest Common Factor of 693,985,674,727 using Euclid's algorithm

Highest Common Factor of 693,985,674,727 is 1

Step 1: Since 985 > 693, we apply the division lemma to 985 and 693, to get

985 = 693 x 1 + 292

Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 292 and 693, to get

693 = 292 x 2 + 109

Step 3: We consider the new divisor 292 and the new remainder 109, and apply the division lemma to get

292 = 109 x 2 + 74

We consider the new divisor 109 and the new remainder 74,and apply the division lemma to get

109 = 74 x 1 + 35

We consider the new divisor 74 and the new remainder 35,and apply the division lemma to get

74 = 35 x 2 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 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 693 and 985 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(74,35) = HCF(109,74) = HCF(292,109) = HCF(693,292) = HCF(985,693) .

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

Step 1: Since 674 > 1, we apply the division lemma to 674 and 1, to get

674 = 1 x 674 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1

Notice that 1 = HCF(674,1) .

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

Step 1: Since 727 > 1, we apply the division lemma to 727 and 1, to get

727 = 1 x 727 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 727 is 1

Notice that 1 = HCF(727,1) .

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Frequently Asked Questions on HCF of 693, 985, 674, 727 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 693, 985, 674, 727?

Answer: HCF of 693, 985, 674, 727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 693, 985, 674, 727 using Euclid's Algorithm?

Answer: For arbitrary numbers 693, 985, 674, 727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.