Highest Common Factor of 9932, 4510, 34715 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 9932, 4510, 34715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9932, 4510, 34715 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 9932, 4510, 34715 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 9932, 4510, 34715 is 1.

HCF(9932, 4510, 34715) = 1

HCF of 9932, 4510, 34715 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 9932, 4510, 34715 is 1.

Highest Common Factor of 9932,4510,34715 using Euclid's algorithm

Highest Common Factor of 9932,4510,34715 is 1

Step 1: Since 9932 > 4510, we apply the division lemma to 9932 and 4510, to get

9932 = 4510 x 2 + 912

Step 2: Since the reminder 4510 ≠ 0, we apply division lemma to 912 and 4510, to get

4510 = 912 x 4 + 862

Step 3: We consider the new divisor 912 and the new remainder 862, and apply the division lemma to get

912 = 862 x 1 + 50

We consider the new divisor 862 and the new remainder 50,and apply the division lemma to get

862 = 50 x 17 + 12

We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get

50 = 12 x 4 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9932 and 4510 is 2

Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(862,50) = HCF(912,862) = HCF(4510,912) = HCF(9932,4510) .

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

Step 1: Since 34715 > 2, we apply the division lemma to 34715 and 2, to get

34715 = 2 x 17357 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 34715 is 1

Notice that 1 = HCF(2,1) = HCF(34715,2) .

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Frequently Asked Questions on HCF of 9932, 4510, 34715 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 9932, 4510, 34715?

Answer: HCF of 9932, 4510, 34715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9932, 4510, 34715 using Euclid's Algorithm?

Answer: For arbitrary numbers 9932, 4510, 34715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.