Highest Common Factor of 7546, 9510, 34881 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 7546, 9510, 34881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7546, 9510, 34881 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 7546, 9510, 34881 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 7546, 9510, 34881 is 1.

HCF(7546, 9510, 34881) = 1

HCF of 7546, 9510, 34881 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 7546, 9510, 34881 is 1.

Highest Common Factor of 7546,9510,34881 using Euclid's algorithm

Highest Common Factor of 7546,9510,34881 is 1

Step 1: Since 9510 > 7546, we apply the division lemma to 9510 and 7546, to get

9510 = 7546 x 1 + 1964

Step 2: Since the reminder 7546 ≠ 0, we apply division lemma to 1964 and 7546, to get

7546 = 1964 x 3 + 1654

Step 3: We consider the new divisor 1964 and the new remainder 1654, and apply the division lemma to get

1964 = 1654 x 1 + 310

We consider the new divisor 1654 and the new remainder 310,and apply the division lemma to get

1654 = 310 x 5 + 104

We consider the new divisor 310 and the new remainder 104,and apply the division lemma to get

310 = 104 x 2 + 102

We consider the new divisor 104 and the new remainder 102,and apply the division lemma to get

104 = 102 x 1 + 2

We consider the new divisor 102 and the new remainder 2,and apply the division lemma to get

102 = 2 x 51 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7546 and 9510 is 2

Notice that 2 = HCF(102,2) = HCF(104,102) = HCF(310,104) = HCF(1654,310) = HCF(1964,1654) = HCF(7546,1964) = HCF(9510,7546) .

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

Step 1: Since 34881 > 2, we apply the division lemma to 34881 and 2, to get

34881 = 2 x 17440 + 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 34881 is 1

Notice that 1 = HCF(2,1) = HCF(34881,2) .

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Frequently Asked Questions on HCF of 7546, 9510, 34881 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 7546, 9510, 34881?

Answer: HCF of 7546, 9510, 34881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7546, 9510, 34881 using Euclid's Algorithm?

Answer: For arbitrary numbers 7546, 9510, 34881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.