Highest Common Factor of 2630, 6670, 86030 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 2630, 6670, 86030 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 2630, 6670, 86030 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 2630, 6670, 86030 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 2630, 6670, 86030 is 10.

HCF(2630, 6670, 86030) = 10

HCF of 2630, 6670, 86030 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 2630, 6670, 86030 is 10.

Highest Common Factor of 2630,6670,86030 using Euclid's algorithm

Highest Common Factor of 2630,6670,86030 is 10

Step 1: Since 6670 > 2630, we apply the division lemma to 6670 and 2630, to get

6670 = 2630 x 2 + 1410

Step 2: Since the reminder 2630 ≠ 0, we apply division lemma to 1410 and 2630, to get

2630 = 1410 x 1 + 1220

Step 3: We consider the new divisor 1410 and the new remainder 1220, and apply the division lemma to get

1410 = 1220 x 1 + 190

We consider the new divisor 1220 and the new remainder 190,and apply the division lemma to get

1220 = 190 x 6 + 80

We consider the new divisor 190 and the new remainder 80,and apply the division lemma to get

190 = 80 x 2 + 30

We consider the new divisor 80 and the new remainder 30,and apply the division lemma to get

80 = 30 x 2 + 20

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 2630 and 6670 is 10

Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(80,30) = HCF(190,80) = HCF(1220,190) = HCF(1410,1220) = HCF(2630,1410) = HCF(6670,2630) .

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

Step 1: Since 86030 > 10, we apply the division lemma to 86030 and 10, to get

86030 = 10 x 8603 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 86030 is 10

Notice that 10 = HCF(86030,10) .

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Frequently Asked Questions on HCF of 2630, 6670, 86030 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 2630, 6670, 86030?

Answer: HCF of 2630, 6670, 86030 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2630, 6670, 86030 using Euclid's Algorithm?

Answer: For arbitrary numbers 2630, 6670, 86030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.