Highest Common Factor of 7915, 9967, 33120 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 7915, 9967, 33120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7915, 9967, 33120 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 7915, 9967, 33120 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 7915, 9967, 33120 is 1.

HCF(7915, 9967, 33120) = 1

HCF of 7915, 9967, 33120 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 7915, 9967, 33120 is 1.

Highest Common Factor of 7915,9967,33120 using Euclid's algorithm

Highest Common Factor of 7915,9967,33120 is 1

Step 1: Since 9967 > 7915, we apply the division lemma to 9967 and 7915, to get

9967 = 7915 x 1 + 2052

Step 2: Since the reminder 7915 ≠ 0, we apply division lemma to 2052 and 7915, to get

7915 = 2052 x 3 + 1759

Step 3: We consider the new divisor 2052 and the new remainder 1759, and apply the division lemma to get

2052 = 1759 x 1 + 293

We consider the new divisor 1759 and the new remainder 293,and apply the division lemma to get

1759 = 293 x 6 + 1

We consider the new divisor 293 and the new remainder 1,and apply the division lemma to get

293 = 1 x 293 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7915 and 9967 is 1

Notice that 1 = HCF(293,1) = HCF(1759,293) = HCF(2052,1759) = HCF(7915,2052) = HCF(9967,7915) .

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

Step 1: Since 33120 > 1, we apply the division lemma to 33120 and 1, to get

33120 = 1 x 33120 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33120 is 1

Notice that 1 = HCF(33120,1) .

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Frequently Asked Questions on HCF of 7915, 9967, 33120 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 7915, 9967, 33120?

Answer: HCF of 7915, 9967, 33120 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7915, 9967, 33120 using Euclid's Algorithm?

Answer: For arbitrary numbers 7915, 9967, 33120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.