Highest Common Factor of 9502, 8117, 75113 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 9502, 8117, 75113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9502, 8117, 75113 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 9502, 8117, 75113 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 9502, 8117, 75113 is 1.

HCF(9502, 8117, 75113) = 1

HCF of 9502, 8117, 75113 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 9502, 8117, 75113 is 1.

Highest Common Factor of 9502,8117,75113 using Euclid's algorithm

Highest Common Factor of 9502,8117,75113 is 1

Step 1: Since 9502 > 8117, we apply the division lemma to 9502 and 8117, to get

9502 = 8117 x 1 + 1385

Step 2: Since the reminder 8117 ≠ 0, we apply division lemma to 1385 and 8117, to get

8117 = 1385 x 5 + 1192

Step 3: We consider the new divisor 1385 and the new remainder 1192, and apply the division lemma to get

1385 = 1192 x 1 + 193

We consider the new divisor 1192 and the new remainder 193,and apply the division lemma to get

1192 = 193 x 6 + 34

We consider the new divisor 193 and the new remainder 34,and apply the division lemma to get

193 = 34 x 5 + 23

We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get

34 = 23 x 1 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9502 and 8117 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(193,34) = HCF(1192,193) = HCF(1385,1192) = HCF(8117,1385) = HCF(9502,8117) .

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

Step 1: Since 75113 > 1, we apply the division lemma to 75113 and 1, to get

75113 = 1 x 75113 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75113 is 1

Notice that 1 = HCF(75113,1) .

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Frequently Asked Questions on HCF of 9502, 8117, 75113 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 9502, 8117, 75113?

Answer: HCF of 9502, 8117, 75113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9502, 8117, 75113 using Euclid's Algorithm?

Answer: For arbitrary numbers 9502, 8117, 75113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.