Highest Common Factor of 805, 2225, 1399 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 805, 2225, 1399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 805, 2225, 1399 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 805, 2225, 1399 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 805, 2225, 1399 is 1.

HCF(805, 2225, 1399) = 1

HCF of 805, 2225, 1399 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 805, 2225, 1399 is 1.

Highest Common Factor of 805,2225,1399 using Euclid's algorithm

Highest Common Factor of 805,2225,1399 is 1

Step 1: Since 2225 > 805, we apply the division lemma to 2225 and 805, to get

2225 = 805 x 2 + 615

Step 2: Since the reminder 805 ≠ 0, we apply division lemma to 615 and 805, to get

805 = 615 x 1 + 190

Step 3: We consider the new divisor 615 and the new remainder 190, and apply the division lemma to get

615 = 190 x 3 + 45

We consider the new divisor 190 and the new remainder 45,and apply the division lemma to get

190 = 45 x 4 + 10

We consider the new divisor 45 and the new remainder 10,and apply the division lemma to get

45 = 10 x 4 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 805 and 2225 is 5

Notice that 5 = HCF(10,5) = HCF(45,10) = HCF(190,45) = HCF(615,190) = HCF(805,615) = HCF(2225,805) .

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

Step 1: Since 1399 > 5, we apply the division lemma to 1399 and 5, to get

1399 = 5 x 279 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 1399 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(1399,5) .

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Frequently Asked Questions on HCF of 805, 2225, 1399 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 805, 2225, 1399?

Answer: HCF of 805, 2225, 1399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 805, 2225, 1399 using Euclid's Algorithm?

Answer: For arbitrary numbers 805, 2225, 1399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.