Highest Common Factor of 9319, 6969, 26098 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 9319, 6969, 26098 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9319, 6969, 26098 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 9319, 6969, 26098 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 9319, 6969, 26098 is 1.

HCF(9319, 6969, 26098) = 1

HCF of 9319, 6969, 26098 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 9319, 6969, 26098 is 1.

Highest Common Factor of 9319,6969,26098 using Euclid's algorithm

Highest Common Factor of 9319,6969,26098 is 1

Step 1: Since 9319 > 6969, we apply the division lemma to 9319 and 6969, to get

9319 = 6969 x 1 + 2350

Step 2: Since the reminder 6969 ≠ 0, we apply division lemma to 2350 and 6969, to get

6969 = 2350 x 2 + 2269

Step 3: We consider the new divisor 2350 and the new remainder 2269, and apply the division lemma to get

2350 = 2269 x 1 + 81

We consider the new divisor 2269 and the new remainder 81,and apply the division lemma to get

2269 = 81 x 28 + 1

We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9319 and 6969 is 1

Notice that 1 = HCF(81,1) = HCF(2269,81) = HCF(2350,2269) = HCF(6969,2350) = HCF(9319,6969) .

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

Step 1: Since 26098 > 1, we apply the division lemma to 26098 and 1, to get

26098 = 1 x 26098 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26098 is 1

Notice that 1 = HCF(26098,1) .

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Frequently Asked Questions on HCF of 9319, 6969, 26098 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 9319, 6969, 26098?

Answer: HCF of 9319, 6969, 26098 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9319, 6969, 26098 using Euclid's Algorithm?

Answer: For arbitrary numbers 9319, 6969, 26098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.