Highest Common Factor of 730, 990, 151 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 730, 990, 151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 730, 990, 151 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 730, 990, 151 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 730, 990, 151 is 1.

HCF(730, 990, 151) = 1

HCF of 730, 990, 151 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 730, 990, 151 is 1.

Highest Common Factor of 730,990,151 using Euclid's algorithm

Highest Common Factor of 730,990,151 is 1

Step 1: Since 990 > 730, we apply the division lemma to 990 and 730, to get

990 = 730 x 1 + 260

Step 2: Since the reminder 730 ≠ 0, we apply division lemma to 260 and 730, to get

730 = 260 x 2 + 210

Step 3: We consider the new divisor 260 and the new remainder 210, and apply the division lemma to get

260 = 210 x 1 + 50

We consider the new divisor 210 and the new remainder 50,and apply the division lemma to get

210 = 50 x 4 + 10

We consider the new divisor 50 and the new remainder 10,and apply the division lemma to get

50 = 10 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 730 and 990 is 10

Notice that 10 = HCF(50,10) = HCF(210,50) = HCF(260,210) = HCF(730,260) = HCF(990,730) .

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

Step 1: Since 151 > 10, we apply the division lemma to 151 and 10, to get

151 = 10 x 15 + 1

Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 1 and 10, to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 151 is 1

Notice that 1 = HCF(10,1) = HCF(151,10) .

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Frequently Asked Questions on HCF of 730, 990, 151 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 730, 990, 151?

Answer: HCF of 730, 990, 151 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 730, 990, 151 using Euclid's Algorithm?

Answer: For arbitrary numbers 730, 990, 151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.