Highest Common Factor of 7277, 7850, 78196 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 7277, 7850, 78196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7277, 7850, 78196 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 7277, 7850, 78196 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 7277, 7850, 78196 is 1.

HCF(7277, 7850, 78196) = 1

HCF of 7277, 7850, 78196 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 7277, 7850, 78196 is 1.

Highest Common Factor of 7277,7850,78196 using Euclid's algorithm

Highest Common Factor of 7277,7850,78196 is 1

Step 1: Since 7850 > 7277, we apply the division lemma to 7850 and 7277, to get

7850 = 7277 x 1 + 573

Step 2: Since the reminder 7277 ≠ 0, we apply division lemma to 573 and 7277, to get

7277 = 573 x 12 + 401

Step 3: We consider the new divisor 573 and the new remainder 401, and apply the division lemma to get

573 = 401 x 1 + 172

We consider the new divisor 401 and the new remainder 172,and apply the division lemma to get

401 = 172 x 2 + 57

We consider the new divisor 172 and the new remainder 57,and apply the division lemma to get

172 = 57 x 3 + 1

We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7277 and 7850 is 1

Notice that 1 = HCF(57,1) = HCF(172,57) = HCF(401,172) = HCF(573,401) = HCF(7277,573) = HCF(7850,7277) .

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

Step 1: Since 78196 > 1, we apply the division lemma to 78196 and 1, to get

78196 = 1 x 78196 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78196 is 1

Notice that 1 = HCF(78196,1) .

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Frequently Asked Questions on HCF of 7277, 7850, 78196 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 7277, 7850, 78196?

Answer: HCF of 7277, 7850, 78196 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7277, 7850, 78196 using Euclid's Algorithm?

Answer: For arbitrary numbers 7277, 7850, 78196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.