Highest Common Factor of 7876, 9219 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 7876, 9219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7876, 9219 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 7876, 9219 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 7876, 9219 is 1.

HCF(7876, 9219) = 1

HCF of 7876, 9219 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 7876, 9219 is 1.

Highest Common Factor of 7876,9219 using Euclid's algorithm

Highest Common Factor of 7876,9219 is 1

Step 1: Since 9219 > 7876, we apply the division lemma to 9219 and 7876, to get

9219 = 7876 x 1 + 1343

Step 2: Since the reminder 7876 ≠ 0, we apply division lemma to 1343 and 7876, to get

7876 = 1343 x 5 + 1161

Step 3: We consider the new divisor 1343 and the new remainder 1161, and apply the division lemma to get

1343 = 1161 x 1 + 182

We consider the new divisor 1161 and the new remainder 182,and apply the division lemma to get

1161 = 182 x 6 + 69

We consider the new divisor 182 and the new remainder 69,and apply the division lemma to get

182 = 69 x 2 + 44

We consider the new divisor 69 and the new remainder 44,and apply the division lemma to get

69 = 44 x 1 + 25

We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get

44 = 25 x 1 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7876 and 9219 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(69,44) = HCF(182,69) = HCF(1161,182) = HCF(1343,1161) = HCF(7876,1343) = HCF(9219,7876) .

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Frequently Asked Questions on HCF of 7876, 9219 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 7876, 9219?

Answer: HCF of 7876, 9219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7876, 9219 using Euclid's Algorithm?

Answer: For arbitrary numbers 7876, 9219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.