Highest Common Factor of 4374, 7415 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 4374, 7415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4374, 7415 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 4374, 7415 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 4374, 7415 is 1.

HCF(4374, 7415) = 1

HCF of 4374, 7415 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 4374, 7415 is 1.

Highest Common Factor of 4374,7415 using Euclid's algorithm

Highest Common Factor of 4374,7415 is 1

Step 1: Since 7415 > 4374, we apply the division lemma to 7415 and 4374, to get

7415 = 4374 x 1 + 3041

Step 2: Since the reminder 4374 ≠ 0, we apply division lemma to 3041 and 4374, to get

4374 = 3041 x 1 + 1333

Step 3: We consider the new divisor 3041 and the new remainder 1333, and apply the division lemma to get

3041 = 1333 x 2 + 375

We consider the new divisor 1333 and the new remainder 375,and apply the division lemma to get

1333 = 375 x 3 + 208

We consider the new divisor 375 and the new remainder 208,and apply the division lemma to get

375 = 208 x 1 + 167

We consider the new divisor 208 and the new remainder 167,and apply the division lemma to get

208 = 167 x 1 + 41

We consider the new divisor 167 and the new remainder 41,and apply the division lemma to get

167 = 41 x 4 + 3

We consider the new divisor 41 and the new remainder 3,and apply the division lemma to get

41 = 3 x 13 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 4374 and 7415 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(41,3) = HCF(167,41) = HCF(208,167) = HCF(375,208) = HCF(1333,375) = HCF(3041,1333) = HCF(4374,3041) = HCF(7415,4374) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 4374, 7415 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 4374, 7415?

Answer: HCF of 4374, 7415 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4374, 7415 using Euclid's Algorithm?

Answer: For arbitrary numbers 4374, 7415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.