Highest Common Factor of 7745, 3468, 78561 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 7745, 3468, 78561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7745, 3468, 78561 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 7745, 3468, 78561 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 7745, 3468, 78561 is 1.

HCF(7745, 3468, 78561) = 1

HCF of 7745, 3468, 78561 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 7745, 3468, 78561 is 1.

Highest Common Factor of 7745,3468,78561 using Euclid's algorithm

Highest Common Factor of 7745,3468,78561 is 1

Step 1: Since 7745 > 3468, we apply the division lemma to 7745 and 3468, to get

7745 = 3468 x 2 + 809

Step 2: Since the reminder 3468 ≠ 0, we apply division lemma to 809 and 3468, to get

3468 = 809 x 4 + 232

Step 3: We consider the new divisor 809 and the new remainder 232, and apply the division lemma to get

809 = 232 x 3 + 113

We consider the new divisor 232 and the new remainder 113,and apply the division lemma to get

232 = 113 x 2 + 6

We consider the new divisor 113 and the new remainder 6,and apply the division lemma to get

113 = 6 x 18 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma 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 7745 and 3468 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(113,6) = HCF(232,113) = HCF(809,232) = HCF(3468,809) = HCF(7745,3468) .

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

Step 1: Since 78561 > 1, we apply the division lemma to 78561 and 1, to get

78561 = 1 x 78561 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78561 is 1

Notice that 1 = HCF(78561,1) .

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Frequently Asked Questions on HCF of 7745, 3468, 78561 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 7745, 3468, 78561?

Answer: HCF of 7745, 3468, 78561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7745, 3468, 78561 using Euclid's Algorithm?

Answer: For arbitrary numbers 7745, 3468, 78561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.