Highest Common Factor of 757, 290, 290 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 757, 290, 290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 757, 290, 290 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 757, 290, 290 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 757, 290, 290 is 1.

HCF(757, 290, 290) = 1

HCF of 757, 290, 290 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 757, 290, 290 is 1.

Highest Common Factor of 757,290,290 using Euclid's algorithm

Highest Common Factor of 757,290,290 is 1

Step 1: Since 757 > 290, we apply the division lemma to 757 and 290, to get

757 = 290 x 2 + 177

Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 177 and 290, to get

290 = 177 x 1 + 113

Step 3: We consider the new divisor 177 and the new remainder 113, and apply the division lemma to get

177 = 113 x 1 + 64

We consider the new divisor 113 and the new remainder 64,and apply the division lemma to get

113 = 64 x 1 + 49

We consider the new divisor 64 and the new remainder 49,and apply the division lemma to get

64 = 49 x 1 + 15

We consider the new divisor 49 and the new remainder 15,and apply the division lemma to get

49 = 15 x 3 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 757 and 290 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(49,15) = HCF(64,49) = HCF(113,64) = HCF(177,113) = HCF(290,177) = HCF(757,290) .

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

Step 1: Since 290 > 1, we apply the division lemma to 290 and 1, to get

290 = 1 x 290 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 290 is 1

Notice that 1 = HCF(290,1) .

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Frequently Asked Questions on HCF of 757, 290, 290 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 757, 290, 290?

Answer: HCF of 757, 290, 290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 757, 290, 290 using Euclid's Algorithm?

Answer: For arbitrary numbers 757, 290, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.