Highest Common Factor of 7975, 3890, 24866 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 7975, 3890, 24866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7975, 3890, 24866 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 7975, 3890, 24866 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 7975, 3890, 24866 is 1.

HCF(7975, 3890, 24866) = 1

HCF of 7975, 3890, 24866 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 7975, 3890, 24866 is 1.

Highest Common Factor of 7975,3890,24866 using Euclid's algorithm

Highest Common Factor of 7975,3890,24866 is 1

Step 1: Since 7975 > 3890, we apply the division lemma to 7975 and 3890, to get

7975 = 3890 x 2 + 195

Step 2: Since the reminder 3890 ≠ 0, we apply division lemma to 195 and 3890, to get

3890 = 195 x 19 + 185

Step 3: We consider the new divisor 195 and the new remainder 185, and apply the division lemma to get

195 = 185 x 1 + 10

We consider the new divisor 185 and the new remainder 10,and apply the division lemma to get

185 = 10 x 18 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7975 and 3890 is 5

Notice that 5 = HCF(10,5) = HCF(185,10) = HCF(195,185) = HCF(3890,195) = HCF(7975,3890) .

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

Step 1: Since 24866 > 5, we apply the division lemma to 24866 and 5, to get

24866 = 5 x 4973 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 24866 is 1

Notice that 1 = HCF(5,1) = HCF(24866,5) .

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Frequently Asked Questions on HCF of 7975, 3890, 24866 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 7975, 3890, 24866?

Answer: HCF of 7975, 3890, 24866 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7975, 3890, 24866 using Euclid's Algorithm?

Answer: For arbitrary numbers 7975, 3890, 24866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.