Highest Common Factor of 350, 920, 560 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, 920, 560 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 350, 920, 560 is 10 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, 920, 560 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, 920, 560 is 10.

HCF(350, 920, 560) = 10

HCF of 350, 920, 560 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, 920, 560 is 10.

Highest Common Factor of 350,920,560 using Euclid's algorithm

Highest Common Factor of 350,920,560 is 10

Step 1: Since 920 > 350, we apply the division lemma to 920 and 350, to get

920 = 350 x 2 + 220

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 220 and 350, to get

350 = 220 x 1 + 130

Step 3: We consider the new divisor 220 and the new remainder 130, and apply the division lemma to get

220 = 130 x 1 + 90

We consider the new divisor 130 and the new remainder 90,and apply the division lemma to get

130 = 90 x 1 + 40

We consider the new divisor 90 and the new remainder 40,and apply the division lemma to get

90 = 40 x 2 + 10

We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get

40 = 10 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 350 and 920 is 10

Notice that 10 = HCF(40,10) = HCF(90,40) = HCF(130,90) = HCF(220,130) = HCF(350,220) = HCF(920,350) .

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

Step 1: Since 560 > 10, we apply the division lemma to 560 and 10, to get

560 = 10 x 56 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 560 is 10

Notice that 10 = HCF(560,10) .

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Frequently Asked Questions on HCF of 350, 920, 560 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, 920, 560?

Answer: HCF of 350, 920, 560 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 350, 920, 560 using Euclid's Algorithm?

Answer: For arbitrary numbers 350, 920, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.