# Highest Common Factor of 350, 500, 130, 260 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 350, 500, 130, 260 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 350, 500, 130, 260 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, 500, 130, 260 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, 500, 130, 260 is 10.

HCF(350, 500, 130, 260) = 10

## HCF of 350, 500, 130, 260 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, 500, 130, 260 is 10.

### Highest Common Factor of 350,500,130,260 using Euclid's algorithm

Step 1: Since 500 > 350, we apply the division lemma to 500 and 350, to get

500 = 350 x 1 + 150

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 150 and 350, to get

350 = 150 x 2 + 50

Step 3: We consider the new divisor 150 and the new remainder 50, and apply the division lemma to get

150 = 50 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 350 and 500 is 50

Notice that 50 = HCF(150,50) = HCF(350,150) = HCF(500,350) .

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

Step 1: Since 130 > 50, we apply the division lemma to 130 and 50, to get

130 = 50 x 2 + 30

Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 30 and 50, to get

50 = 30 x 1 + 20

Step 3: We consider the new divisor 30 and the new remainder 20, and apply the division lemma to get

30 = 20 x 1 + 10

We consider the new divisor 20 and the new remainder 10, and apply the division lemma to get

20 = 10 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 50 and 130 is 10

Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(50,30) = HCF(130,50) .

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

Step 1: Since 260 > 10, we apply the division lemma to 260 and 10, to get

260 = 10 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 260 is 10

Notice that 10 = HCF(260,10) .

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### Frequently Asked Questions on HCF of 350, 500, 130, 260 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, 500, 130, 260?

Answer: HCF of 350, 500, 130, 260 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 350, 500, 130, 260 using Euclid's Algorithm?

Answer: For arbitrary numbers 350, 500, 130, 260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.