Highest Common Factor of 7885, 1987, 80102 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 7885, 1987, 80102 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7885, 1987, 80102 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 7885, 1987, 80102 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 7885, 1987, 80102 is 1.

HCF(7885, 1987, 80102) = 1

HCF of 7885, 1987, 80102 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 7885, 1987, 80102 is 1.

Highest Common Factor of 7885,1987,80102 using Euclid's algorithm

Highest Common Factor of 7885,1987,80102 is 1

Step 1: Since 7885 > 1987, we apply the division lemma to 7885 and 1987, to get

7885 = 1987 x 3 + 1924

Step 2: Since the reminder 1987 ≠ 0, we apply division lemma to 1924 and 1987, to get

1987 = 1924 x 1 + 63

Step 3: We consider the new divisor 1924 and the new remainder 63, and apply the division lemma to get

1924 = 63 x 30 + 34

We consider the new divisor 63 and the new remainder 34,and apply the division lemma to get

63 = 34 x 1 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7885 and 1987 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(63,34) = HCF(1924,63) = HCF(1987,1924) = HCF(7885,1987) .

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

Step 1: Since 80102 > 1, we apply the division lemma to 80102 and 1, to get

80102 = 1 x 80102 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80102 is 1

Notice that 1 = HCF(80102,1) .

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Frequently Asked Questions on HCF of 7885, 1987, 80102 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 7885, 1987, 80102?

Answer: HCF of 7885, 1987, 80102 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7885, 1987, 80102 using Euclid's Algorithm?

Answer: For arbitrary numbers 7885, 1987, 80102 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.