Highest Common Factor of 4670, 8738, 50095 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 4670, 8738, 50095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4670, 8738, 50095 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 4670, 8738, 50095 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 4670, 8738, 50095 is 1.

HCF(4670, 8738, 50095) = 1

HCF of 4670, 8738, 50095 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 4670, 8738, 50095 is 1.

Highest Common Factor of 4670,8738,50095 using Euclid's algorithm

Highest Common Factor of 4670,8738,50095 is 1

Step 1: Since 8738 > 4670, we apply the division lemma to 8738 and 4670, to get

8738 = 4670 x 1 + 4068

Step 2: Since the reminder 4670 ≠ 0, we apply division lemma to 4068 and 4670, to get

4670 = 4068 x 1 + 602

Step 3: We consider the new divisor 4068 and the new remainder 602, and apply the division lemma to get

4068 = 602 x 6 + 456

We consider the new divisor 602 and the new remainder 456,and apply the division lemma to get

602 = 456 x 1 + 146

We consider the new divisor 456 and the new remainder 146,and apply the division lemma to get

456 = 146 x 3 + 18

We consider the new divisor 146 and the new remainder 18,and apply the division lemma to get

146 = 18 x 8 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4670 and 8738 is 2

Notice that 2 = HCF(18,2) = HCF(146,18) = HCF(456,146) = HCF(602,456) = HCF(4068,602) = HCF(4670,4068) = HCF(8738,4670) .

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

Step 1: Since 50095 > 2, we apply the division lemma to 50095 and 2, to get

50095 = 2 x 25047 + 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 50095 is 1

Notice that 1 = HCF(2,1) = HCF(50095,2) .

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Frequently Asked Questions on HCF of 4670, 8738, 50095 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 4670, 8738, 50095?

Answer: HCF of 4670, 8738, 50095 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4670, 8738, 50095 using Euclid's Algorithm?

Answer: For arbitrary numbers 4670, 8738, 50095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.