Highest Common Factor of 7049, 7794, 47860 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 7049, 7794, 47860 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7049, 7794, 47860 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 7049, 7794, 47860 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 7049, 7794, 47860 is 1.

HCF(7049, 7794, 47860) = 1

HCF of 7049, 7794, 47860 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 7049, 7794, 47860 is 1.

Highest Common Factor of 7049,7794,47860 using Euclid's algorithm

Highest Common Factor of 7049,7794,47860 is 1

Step 1: Since 7794 > 7049, we apply the division lemma to 7794 and 7049, to get

7794 = 7049 x 1 + 745

Step 2: Since the reminder 7049 ≠ 0, we apply division lemma to 745 and 7049, to get

7049 = 745 x 9 + 344

Step 3: We consider the new divisor 745 and the new remainder 344, and apply the division lemma to get

745 = 344 x 2 + 57

We consider the new divisor 344 and the new remainder 57,and apply the division lemma to get

344 = 57 x 6 + 2

We consider the new divisor 57 and the new remainder 2,and apply the division lemma to get

57 = 2 x 28 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7049 and 7794 is 1

Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(344,57) = HCF(745,344) = HCF(7049,745) = HCF(7794,7049) .

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

Step 1: Since 47860 > 1, we apply the division lemma to 47860 and 1, to get

47860 = 1 x 47860 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47860 is 1

Notice that 1 = HCF(47860,1) .

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Frequently Asked Questions on HCF of 7049, 7794, 47860 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 7049, 7794, 47860?

Answer: HCF of 7049, 7794, 47860 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7049, 7794, 47860 using Euclid's Algorithm?

Answer: For arbitrary numbers 7049, 7794, 47860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.