Highest Common Factor of 350, 919, 505 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 350, 919, 505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 350, 919, 505 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 350, 919, 505 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 350, 919, 505 is 1.

HCF(350, 919, 505) = 1

HCF of 350, 919, 505 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 350, 919, 505 is 1.

Highest Common Factor of 350,919,505 using Euclid's algorithm

Highest Common Factor of 350,919,505 is 1

Step 1: Since 919 > 350, we apply the division lemma to 919 and 350, to get

919 = 350 x 2 + 219

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 219 and 350, to get

350 = 219 x 1 + 131

Step 3: We consider the new divisor 219 and the new remainder 131, and apply the division lemma to get

219 = 131 x 1 + 88

We consider the new divisor 131 and the new remainder 88,and apply the division lemma to get

131 = 88 x 1 + 43

We consider the new divisor 88 and the new remainder 43,and apply the division lemma to get

88 = 43 x 2 + 2

We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get

43 = 2 x 21 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 350 and 919 is 1

Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(88,43) = HCF(131,88) = HCF(219,131) = HCF(350,219) = HCF(919,350) .

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

Step 1: Since 505 > 1, we apply the division lemma to 505 and 1, to get

505 = 1 x 505 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 505 is 1

Notice that 1 = HCF(505,1) .

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Frequently Asked Questions on HCF of 350, 919, 505 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 350, 919, 505?

Answer: HCF of 350, 919, 505 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 350, 919, 505 using Euclid's Algorithm?

Answer: For arbitrary numbers 350, 919, 505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.