Highest Common Factor of 1195, 3947, 46028 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 1195, 3947, 46028 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1195, 3947, 46028 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 1195, 3947, 46028 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 1195, 3947, 46028 is 1.

HCF(1195, 3947, 46028) = 1

HCF of 1195, 3947, 46028 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 1195, 3947, 46028 is 1.

Highest Common Factor of 1195,3947,46028 using Euclid's algorithm

Highest Common Factor of 1195,3947,46028 is 1

Step 1: Since 3947 > 1195, we apply the division lemma to 3947 and 1195, to get

3947 = 1195 x 3 + 362

Step 2: Since the reminder 1195 ≠ 0, we apply division lemma to 362 and 1195, to get

1195 = 362 x 3 + 109

Step 3: We consider the new divisor 362 and the new remainder 109, and apply the division lemma to get

362 = 109 x 3 + 35

We consider the new divisor 109 and the new remainder 35,and apply the division lemma to get

109 = 35 x 3 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1195 and 3947 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(109,35) = HCF(362,109) = HCF(1195,362) = HCF(3947,1195) .

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

Step 1: Since 46028 > 1, we apply the division lemma to 46028 and 1, to get

46028 = 1 x 46028 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46028 is 1

Notice that 1 = HCF(46028,1) .

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Frequently Asked Questions on HCF of 1195, 3947, 46028 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 1195, 3947, 46028?

Answer: HCF of 1195, 3947, 46028 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1195, 3947, 46028 using Euclid's Algorithm?

Answer: For arbitrary numbers 1195, 3947, 46028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.